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1.0

Jun 29, 2018
06/18

by
. Piretto; S. Musacchio; G. Boffetta

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We study the time irreversibility of the direct cascade in two-dimensional turbulence by looking at the time derivative of the square vorticity along Lagrangian trajectories, a quantity which we call metenstrophy. By means of extensive numerical simulations we measure the time irreversibility from the asymmetry of the PDF of the metenstrophy and we find that it increases with the Reynolds number of the cascade, similarly to what found in three-dimensional turbulence. A detailed analysis of the...

Topics: Nonlinear Sciences, Fluid Dynamics, Statistical Mechanics, Condensed Matter, Physics, Chaotic...

Source: http://arxiv.org/abs/1607.06210

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0.0

Jun 30, 2018
06/18

by
A. A. Tikhomirov; O. I. Kanakov; B. L. Altshuler; M. V. Ivanchenko

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We study collective dynamics of interacting centers of exciton-polariton condensation in presence of spatial inhomogeneity, as modeled by diatomic active oscillator lattices. The mode formalism is developed and employed to derive existence and stability criteria of plane wave solutions. It is demonstrated that $k_0=0$ wave number mode with the binary elementary cell on a diatomic lattice possesses superior existence and stability properties. Decreasing net on-site losses (balance of dissipation...

Topics: Condensed Matter, Nonlinear Sciences, Chaotic Dynamics, Disordered Systems and Neural Networks

Source: http://arxiv.org/abs/1407.7067

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0.0

Jun 30, 2018
06/18

by
A. Aliakbari; P. Manshour; M. J. Salehi

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The records statistics in stationary and non-stationary fractal time series is studied extensively. By calculating various concepts in record dynamics, we find some interesting results. In stationary fractional Gaussian noises, we observe a universal behavior for the whole range of Hurst exponents. However, for non-stationary fractional Brownian motions the record dynamics is crucially dependent on the memory, which plays the role of a non-stationarity index, here. Indeed, the deviation from...

Topics: Physics, Data Analysis, Statistics and Probability, Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1704.04377

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7.0

Jun 28, 2018
06/18

by
A. B. Boyd; D. Mandal; J. P. Crutchfield

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We introduce a family of Maxwellian Demons for which correlations among information bearing degrees of freedom can be calculated exactly and in compact analytical form. This allows one to precisely determine Demon functional thermodynamic operating regimes, when previous methods either misclassify or simply fail due to approximations they invoke. This reveals that these Demons are more functional than previous candidates. They too behave either as engines, lifting a mass against gravity by...

Topics: Chemical Physics, Nonlinear Sciences, Statistical Mechanics, Physics, Condensed Matter, Biological...

Source: http://arxiv.org/abs/1507.01537

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0.0

Jun 30, 2018
06/18

by
A. Berera; R. D. J. G. Ho

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By tracking the divergence of two initially close trajectories in phase space of forced turbulence, the relation between the maximal Lyapunov exponent $\lambda$, and the Reynolds number $Re$ is measured using direct numerical simulations, performed on up to $2048^3$ collocation points. The Lyapunov exponent is found to solely depend on the Reynolds number with $\lambda \propto Re^{0.53}$ and that after a transient period the divergence of trajectories grows at the same rate at all scales....

Topics: Fluid Dynamics, Physics, Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1704.01042

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0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown that appearance of inertial range of scales, adjacent to distributed chaos range, results in adiabatic invariance of an energy correlation integral for isotropic homogeneous turbulence and for buoyancy driven turbulence (with stable or unstable stratification, including Rayleigh-Taylor mixing zone). Power spectrum of velocity field for distributed chaos dominated by this adiabatic invariant has a stretched exponential form $\propto \exp(-k/k_{\beta})^{3/5}$. Results of recent direct...

Topics: Fluid Dynamics, Chaotic Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1609.01617

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0.0

Jun 28, 2018
06/18

by
A. Bershadskii

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Power spectrum of the distributed chaos can be represented by a weighted superposition of the exponential functions which is converged to a stretched exponential $\propto \exp-(k/k_{\beta})^{\beta }$. An asymptotic theory has been developed in order to estimate the value of $\beta$ for the isotropic turbulence. This value has been found to be $\beta =3/4$. Excellent agreement has been established between this theory and the data of direct numerical simulations not only for the velocity field...

Topics: Fluid Dynamics, Nonlinear Sciences, Chaotic Dynamics, Physics

Source: http://arxiv.org/abs/1512.08837

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0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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The fluids and polymers have different fundamental symmetries. Namely, the Lagrangian relabeling symmetry of fluids is absent for polymers (while the translational and rotational symmetries are still present). This fact results in spontaneous breaking of the relabeling symmetry in fluid turbulence even at a tiny polymer addition. Since helicity conservation in inviscid fluid motions is a consequence of the relabeling symmetry (due to the Noether's theorem) violation of this conservation by the...

Topics: Soft Condensed Matter, Nonlinear Sciences, Fluid Dynamics, Condensed Matter, Physics, Chaotic...

Source: http://arxiv.org/abs/1605.09291

0
0.0

Jun 28, 2018
06/18

by
A. Bershadskii

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It is shown, that the both angular CMB Doppler spectrum: $C_l$ (Planck space telescope - cosmic microwave background [1]) and the 3D galaxy-galaxy power spectrum: $P(k)$ (Sloan Digital Sky Survey SDSS-II [2]), exhibit a considerable range with an exponential decay: $370 < l < 2500$ and $0.05 < k < 0.27~~(h/Mpc)$, respectively. The rates of the exponential decay are $l_c \simeq 300$ for $C_l \sim \exp-(l/l_c)$ and $k_c \simeq 0.09~~(h/Mpc)$ for $P(k) \sim \exp-(k/k_c)$. A waviness is...

Topics: Astrophysics, Plasma Physics, Cosmology and Nongalactic Astrophysics, Physics, Nonlinear Sciences,...

Source: http://arxiv.org/abs/1510.01909

1
1.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown, using direct numerical simulations and laboratory experiments data, that distributed chaos is often tuned to large scale coherent motions in anisotropic inhomogeneous turbulence. The examples considered are: fully developed turbulent boundary layer (range of coherence: $14 < y^{+} < 80$), turbulent thermal convection (in a horizontal cylinder), and Cuette-Taylor flow. Two ways of the tuning have been described: one via fundamental frequency (wavenumber) and another via...

Topics: Fluid Dynamics, Chaotic Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1605.04831

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0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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The distributed chaos driven by Levich-Tsinober (helicity) integral: $I=\int \langle h({\bf x},t)~h({\bf x}+{\bf r}, t)\rangle d{\bf r}$ has been studied. It is shown that the helical distributed chaos can be considered as basis for complex turbulent flows with interplay between large-scale coherent structures and small-scale turbulence, such as Cuette-Taylor flow, wake behind cylinder and turbulent flow in the Large Plasma Device (LAPD) with inserted limiters. In the last case appearance of...

Topics: Plasma Physics, Fluid Dynamics, Chaotic Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1604.05211

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2.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown that in turbulent flows the distributed chaos with spontaneously broken translational space symmetry (homogeneity) has a stretched exponential spectrum $\exp-(k/k_{\beta})^{\beta }$ with $\beta =1/2$. Good agreement has been established between the theory and the data of direct numerical simulations of isotropic homogeneous turbulence (energy dissipation rate field), of a channel flow (velocity field), of a fully developed boundary layer flow (velocity field), and the experimental...

Topics: Nonlinear Sciences, Fluid Dynamics, Cosmology and Nongalactic Astrophysics, Physics, Astrophysics,...

Source: http://arxiv.org/abs/1601.07364

1
1.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown, using results of recent direct numerical simulations, that spectral properties of distributed chaos in MHD turbulence with zero mean magnetic field are similar to those of hydrodynamic turbulence. An exception is MHD spontaneous breaking of space translational symmetry, when the stretched exponential spectrum $\exp(-k/k_{\beta})^{\beta}$ has $\beta=4/7$.

Topics: Plasma Physics, Fluid Dynamics, Chaotic Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1607.02073

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0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown, using results of measurements of ion saturation current in the plasma edges of different magnetic fusion confinement devices (tokamaks and stellarators), that the plasma dynamics in the edges is dominated by distributed chaos with spontaneously broken translational symmetry at low magnetic field, and with spontaneously broken reflexional symmetry (by helical solitons) at high magnetic field.

Topics: Chaotic Dynamics, Nonlinear Sciences, Physics, Plasma Physics

Source: http://arxiv.org/abs/1603.09186

0
0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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It is shown, by the means of distributed chaos approach and using the experimental data, that at very large Rayleigh number $Ra > 10^{14}$ and Prandtl number $Pr \sim 1$ the Rayleigh-B\'{e}nard turbulence can undergo a transition related to spontaneous breaking of the fundamental Lagrangian relabeling symmetry. Due to the Noether's theorem helicity plays central role in this process. After the transition the temperature spectrum has a stretched exponential form $E (k) \propto...

Topics: Nonlinear Sciences, Fluid Dynamics, Solar and Stellar Astrophysics, Physics, Astrophysics, Chaotic...

Source: http://arxiv.org/abs/1608.04657

0
0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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Competition between two main attractors of the distributed chaos, one associated with translational symmetry (homogeneity) and another associated with rotational symmetry (isotropy), has been studied in freely decaying turbulence. It is shown that, unlike the case of statistically stationary homogeneous isotropic turbulence, the attractor associated with rotational symmetry (and controlled by Loitsyanskii integral) can dominate turbulent local dynamics in an intermediate stage of the decay,...

Topics: Fluid Dynamics, Chaotic Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1602.04719

0
0.0

Jun 29, 2018
06/18

by
A. Bershadskii

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Two types of spontaneous breaking of the space translational symmetry in distributed chaos have been considered for turbulent thermal convection at large values of Rayleigh number. First type is related to boundaries and second type is related to appearance of inertial range of scales. The first type is dominated by vorticity correlation integral: $\int_{V} \langle {\boldsymbol \omega} ({\bf x},t) \cdot {\boldsymbol \omega} ({\bf x} + {\bf r},t) \rangle_{V} d{\bf r}$ and is characterized by...

Topics: Nonlinear Sciences, Fluid Dynamics, Solar and Stellar Astrophysics, Physics, Astrophysics, Chaotic...

Source: http://arxiv.org/abs/1604.07762

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3.0

Jun 29, 2018
06/18

by
A. Cesa; J. Martin; W. Struyve

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In Bohmian mechanics, the nodes of the wave function play an important role in the generation of chaos. However, so far, most of the attention has been on moving nodes; little is known about the possibility of chaos in the case of stationary nodes. We address this question by considering stationary states, which provide the simplest examples of wave functions with stationary nodes. We provide examples of stationary wave functions for which there is chaos, as demonstrated by numerical...

Topics: Quantum Physics, Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1603.01387

1
1.0

Jun 30, 2018
06/18

by
A. E. Botha; W. Dednam

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The numerical optimized shooting method for finding periodic orbits in nonlinear dynamical systems was employed to determine the existence of periodic orbits in the well-known R\"ossler system. By optimizing the period $T$ and the three system parameters, $a$, $b$ and $c$, simultaneously, it was found that, for any initial condition $(x_0,y_0,z_0) \in \Re^3$, there exists at least one set of optimized parameters corresponding to a periodic orbit passing through $ (x_0,y_0,z_0)$. After a...

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1408.3397

0
0.0

Jun 29, 2018
06/18

by
A. E. Botha

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It is shown that probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a characteristic shape. Such distributions could be used as a signature of chimera states, particularly in systems for which the phases of all the oscillators cannot be measured directly. In such cases, the characteristic distribution may be obtained indirectly, via embedding techniques, thus making it possible to detect chimera states in systems where they could otherwise exist,...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1601.01538

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0.0

Jun 29, 2018
06/18

by
A. Gupta; M. Sbragaglia; D. Belardinelli; K. Sugiyama

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Based on mesoscale lattice Boltzmann simulations with the "Shan-Chen" model, we explore the influence of thermocapillarity on the break-up properties of fluid threads in a microfluidic T-junction, where a dispersed phase is injected perpendicularly into a main channel containing a continuous phase, and the latter induces periodic break-up of droplets due to the cross-flowing. Temperature effects are investigated by switching on/off both positive/negative temperature gradients along...

Topics: Nonlinear Sciences, Fluid Dynamics, Statistical Mechanics, Condensed Matter, Physics, Chaotic...

Source: http://arxiv.org/abs/1607.05562

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0.0

Jun 29, 2018
06/18

by
A. Iomin

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The review is concerned with the nonlinear Schr\"odinger equation (NLSE) in the presence of disorder. Disorder leads to localization in the form of the localized Anderson modes (AM), while nonlinearity is responsible for the interaction between the AMs and transport. The dynamics of an initially localized wave packets are concerned in both classical and quantum cases. In both cases, there is a subdiffusive spreading, which is explained in the framework of a continuous time random walk...

Topics: Disordered Systems and Neural Networks, Chaotic Dynamics, Nonlinear Sciences, Condensed Matter,...

Source: http://arxiv.org/abs/1607.00842

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0.0

Jun 30, 2018
06/18

by
A. Ishaq Ahamed; M. Lakshmanan

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We report using Clarke's concept of generalised differential and a modification of Floquet theory to non-smooth oscillations, the occurrence of discontinuity induced Hopf bifurcations and Neimark-Sacker bifurcations leading to quasiperiodic attractors in a memristive Murali-Lakshmanan-Chua (memristive MLC) circuit. The above bifurcations arise because of the fact that a memristive MLC circuit is basically a nonsmooth system by virtue of having a memristive element as its nonlinearity. The...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1704.01167

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0.0

Jun 29, 2018
06/18

by
A. Leuch; L. Papariello; O. Zilberberg; C. L. Degen; R. Chitra; A. Eichler

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Much of the physical world around us can be described in terms of harmonic oscillators in thermodynamic equilibrium. At the same time, the far from equilibrium behavior of oscillators is important in many aspects of modern physics. Here, we investigate a resonating system subject to a fundamental interplay between intrinsic nonlinearities and a combination of several driving forces. We have constructed a controllable and robust realization of such a system using a macroscopic doubly clamped...

Topics: Mesoscale and Nanoscale Physics, Chaotic Dynamics, Condensed Matter, Nonlinear Sciences

Source: http://arxiv.org/abs/1608.08896

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1.0

Jun 28, 2018
06/18

by
A. Leviatan; M. Macek

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Detailed description of nuclei necessitates model Hamiltonians which break most dynamical symmetries. Nevertheless, generalized notions of partial and quasi dynamical symmetries may still be applicable to selected subsets of states, amidst a complicated environment of other states. We examine such scenarios in the context of nuclear shape-phase transitions.

Topics: Quantum Physics, Chaotic Dynamics, Nonlinear Sciences, Nuclear Theory

Source: http://arxiv.org/abs/1508.04587

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0.0

Jun 30, 2018
06/18

by
A. Leviatan; M. Macek

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We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical) and SU(3) (deformed) limits. A classical analysis reveals regular (chaotic) dynamics at low (higher) energy in the spherical region, coexisting with a robustly regular dynamics in the deformed region. A quantum analysis discloses, amidst a complicated environment, persisting regular multiplets of states associated...

Topics: Quantum Physics, Nonlinear Sciences, Nuclear Theory, Chaotic Dynamics

Source: http://arxiv.org/abs/1401.2097

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3.0

Jun 26, 2018
06/18

by
A. M. Martínez-Argüello; M. Martínez-Mares; M. Cobián-Suárez; G. Báez; R. A. Méndez-Sánchez

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A rapid, or prompt response, of an electromagnetic nature, is found in an elastic wave scattering experiment. The experiment is performed with torsional elastic waves in a quasi-one-dimensional cavity with one port, formed by a notch grooved at a certain distance from the free end of a beam. The stationary patterns are diminished using a passive vibration isolation system at the other end of the beam. The measurement of the resonances is performed with non-contact electromagnetic-acoustic...

Topics: Nonlinear Sciences, Chaotic Dynamics, Mesoscale and Nanoscale Physics, Condensed Matter

Source: http://arxiv.org/abs/1502.03488

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0.0

Jun 29, 2018
06/18

by
A. M. Rucklidge; E. Knobloch

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The Takens-Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation-invariant in one spatial dimension with no left-right preference the imposition of periodic boundary conditions leads to the Takens-Bogdanov bifurcation with O(2) symmetry. This bifurcation, analyzed by G. Dangelmayr and E. Knobloch, Phil. Trans. R. Soc. London A 322, 243 (1987), describes the interaction...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1609.02730

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1.0

Jun 30, 2018
06/18

by
A. Mallet; A. A. Schekochihin; B. D. G. Chandran

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We present numerical evidence that in strong Alfvenic turbulence, the critical balance principle---equality of the nonlinear decorrelation and linear propagation times---is scale invariant, in the sense that the probability distribution of the ratio of these times is independent of scale. This result only holds if the local alignment of the Elsasser fields is taken into account in calculating the nonlinear time. At any given scale, the degree of alignment is found to increase with fluctuation...

Topics: Physics, Nonlinear Sciences, Astrophysics, Chaotic Dynamics, Plasma Physics, Space Physics, Solar...

Source: http://arxiv.org/abs/1406.5658

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0.0

Jun 30, 2018
06/18

by
A. N. Artemov

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The dynamics of short 1D nonlinear Hamiltonian chains is analyzed numerically at different temperatures (energy per particle). The boundary temperature $T_b$ separating the regular (quasiperiodic) and the stochastic (chaotic) chain motion is found. The dynamical properties of short 1D nonlinear chains interacting with thermostats are studied. It is shown that, in spite of the fluctuations, the dynamics of such systems can be stochastic as well as regular. The boundary temperature of these...

Topics: Condensed Matter, Nonlinear Sciences, Chaotic Dynamics, Statistical Mechanics

Source: http://arxiv.org/abs/1404.6057

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0.0

Jun 29, 2018
06/18

by
A. N. Vitrenko

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A prototype model of a stochastic one-variable system with a linear restoring force driven by two cross-correlated multiplicative and additive Gaussian white noises was considered earlier [S. I. Denisov et al., Phys. Rev. E 68, 046132 (2003)]. The multiplicative factor was assumed to be quadratic in the vicinity of a stable equilibrium point. It was determined that a negative cross-correlation can induce nonequilibrium transitions. In this paper, we investigate this model in more detail and...

Topics: Nonlinear Sciences, Data Analysis, Statistics and Probability, Statistical Mechanics, Condensed...

Source: http://arxiv.org/abs/1612.03442

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7.0

Jun 28, 2018
06/18

by
A. N. W. Hone; O. Ragnisco; F. Zullo

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We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The definition inherits the basic properties from the definition of entropy for rational maps. We give an example with positive entropy, as well as two examples taken from the theory of Backlund transformations.

Topics: Chaotic Dynamics, Exactly Solvable and Integrable Systems, Nonlinear Sciences

Source: http://arxiv.org/abs/1508.01440

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1.0

Jun 29, 2018
06/18

by
A. P. Kuznetsov; Yu. V. Sedova

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We propose a new three-dimensional map that demonstrates the two- and three-frequency quasi-periodicity. For this map all basic quasi-periodic bifurcations are possible. The study was realized by using method of Lyapunov charts completed by plots of Lyapunov exponents, phase portraits and bifurcation trees illustrating the quasi-periodic bifurcations. The features of the three-parameter structure associated with quasi-periodic Hopf bifurcation are discussed. The comparison with non-autonomous...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1602.05760

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9.0

Jun 26, 2018
06/18

by
A. P. Kuznetsov; L. V. Turukina; N. Yu. Chernyshov; Yu. V. Sedova

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Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization and possible quasi-periodic regimes of different types are revealed. Regimes when autonomous oscillators demonstrate frequency locking and beating regimes with incommensurate frequencies are considered and compared.

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1502.03564

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0.0

Jun 30, 2018
06/18

by
A. Peña; A. Girschik; F. Libisch; S. Rotter; A. A. Chabanov

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The propagation of light through samples with random inhomogeneities can be described by way of transmission eigenchannels, which connect incoming and outgoing external propagating modes. Although the detailed structure of a disordered sample can generally not be fully specified, these transmission eigenchannels can nonetheless be successfully controlled and utilized for focusing and imaging light through random media. Here we demonstrate that in deeply localized quasi-1D systems, the single...

Topics: Physics, Nonlinear Sciences, Chaotic Dynamics, Disordered Systems and Neural Networks, Optics,...

Source: http://arxiv.org/abs/1404.4180

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0.0

Jun 29, 2018
06/18

by
A. Pikovsky

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Randomly coupled neural fields demonstrate chaotic variation of firing rates, if the coupling is strong enough, as has been shown by Sompolinsky et. al [Phys. Rev. Lett., v. 61, 259 (1988)]. We present a method for reconstruction of the coupling matrix from the observations of the chaotic firing rates. The approach is based on the particular property of the nonlinearity in the coupling, as the latter is determined by a sigmoidal gain function. We demonstrate that for a large enough data set,...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1604.00619

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0.0

Jun 29, 2018
06/18

by
A. Rehemanjiang; M. Allgaier; C. H. Joyner; S. Müller; M. Sieber; U. Kuhl; H. -J. Stöckmann

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Following an idea by Joyner et al. [Europhys. Lett. 107, 50004 (2014)] a microwave graph with an antiunitary symmetry T obeying T^2=-1 is realized. The Kramers doublets expected for such systems are clearly identified and can be lifted by a perturbation which breaks the antiunitary symmetry. The observed spectral level spacings distribution of the Kramers doublets is in agreement with the predictions from the Gaussian symplectic ensemble expected for chaotic systems with such a symmetry.

Topics: Disordered Systems and Neural Networks, Chaotic Dynamics, Condensed Matter, Nonlinear Sciences

Source: http://arxiv.org/abs/1601.00467

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3.0

Jun 30, 2018
06/18

by
A. S. de Wijn; B. Hess; B. V. Fine

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We perform a numerical investigation of the Lyapunov spectra of chaotic dynamics in lattices of classical spins in the vicinity of second-order ferromagnetic and antiferromagnetic phase transitions. On the basis of this investigation, we identify a characteristic of the shape of the Lyapunov spectra, the "G-index", which exhibits a sharp peak as a function of temperature at the phase transition, provided the order parameter is capable of sufficiently strong dynamic fluctuations. As a...

Topics: Condensed Matter, Nonlinear Sciences, Chaotic Dynamics, Statistical Mechanics

Source: http://arxiv.org/abs/1410.5599

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0.0

Jun 29, 2018
06/18

by
A. S. Il'yn; V. A. Sirota; K. P. Zybin

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Statistical properties of infinite products of random isotropically distributed matrices are investigated. Both for continuous processes with finite correlation time and discrete sequences of independent matrices, a formalism that allows to calculate easily the Lyapunov spectrum and generalized Lyapunov exponents is developed. This problem is of interest to probability theory, statistical characteristics of matrix T-exponentials are also needed for turbulent transport problems, dynamical chaos...

Topics: Chaotic Dynamics, Nonlinear Sciences, Fluid Dynamics, Physics

Source: http://arxiv.org/abs/1607.03616

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0.0

Jun 28, 2018
06/18

by
A. Sozza; F. De Lillo; S. Musacchio; G. Boffetta

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We study the motion of small inertial particles in stratified turbulence. We derive a simplified model, valid within the Boussinesq approximation, for the dynamics of small particles in presence of a mean linear density profile. By means of extensive direct numerical simulations, we investigate the statistical distribution of particles as a function of the two dimensionless parameters of the problem. We find that vertical confinement of particles is mainly ruled by the degree of stratification,...

Topics: Chaotic Dynamics, Fluid Dynamics, Physics, Nonlinear Sciences

Source: http://arxiv.org/abs/1509.03540

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0.0

Jun 30, 2018
06/18

by
A. Sozza; G. Boffetta; P. Muratore-Ginanneschi; S. Musacchio

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Numerical simulations of a thin layer of turbulent flow in stably stratified conditions within the Boussinesq approximation have been performed. The statistics of energy transfer among scales have been investigated for different values of control parameters: thickness of the layer and density stratification. It is shown that in a thin layer with a quasi-two-dimensional phenomenology, stratification provides a new channel for the energy transfer towards small scales and reduces the inverse...

Topics: Fluid Dynamics, Physics, Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1405.7824

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Jun 30, 2018
06/18

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A. V. Cano; M. G. Cosenza

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We show that chimera states, where differentiated subsets of synchronized and desynchronized dynamical elements coexist, can emerge in networks of hyperbolic chaotic oscillators subject to global interactions. As local dynamics we employ Lozi maps which possess hyperbolic chaotic attractors. We consider a globally coupled system of these maps and use two statistical quantities to describe its collective behavior: the average fraction of elements belonging to clusters and the average standard...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1701.06707

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Jun 28, 2018
06/18

by
A. V. Makarenko

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A new approach is proposed to the analysis of generalized synchronization of multidimensional chaotic systems. The approach is based on the symbolic analysis of discrete sequences in the basis of a finite T-alphabet. In fact, the symbols of the T-alphabet encode the shape (the geometric structure) of a trajectory of a dynamical system. Investigation of symbolic sequences allows one to diagnose various regimes of chaos synchronization, including generalized synchronization. The characteristics...

Topics: Nonlinear Sciences, Data Analysis, Statistics and Probability, Physics, Chaotic Dynamics, Dynamical...

Source: http://arxiv.org/abs/1507.03103

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Jun 27, 2018
06/18

by
A. V. Makarenko

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A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during synchronization of chaotic oscillations in the T-synchronization mode. A system of two identical logistic mappings with unidirectional coupling that operate in the developed chaos regime is analyzed. It is shown that the widely used approach, in which only...

Topics: Chaotic Dynamics, Dynamical Systems, Nonlinear Sciences, Mathematics

Source: http://arxiv.org/abs/1505.04314

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Jun 30, 2018
06/18

by
A. V. Milovanov; A. Iomin

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This study is concerned with destruction of Anderson localization by a nonlinearity of the power-law type. We suggest using a nonlinear Schr\"odinger model with random potential on a lattice that quadratic nonlinearity plays a dynamically very distinguished role in that it is the only type of power nonlinearity permitting an abrupt localization-delocalization transition with unlimited spreading already at the delocalization border. For super-quadratic nonlinearity the borderline spreading...

Topics: Disordered Systems and Neural Networks, Chaotic Dynamics, Nonlinear Sciences, Statistical...

Source: http://arxiv.org/abs/1405.7510

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Jun 29, 2018
06/18

by
A. Yu. Ignatiev

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A long-standing quantum-mechanical puzzle is whether the collapse of the wave function is a real physical process or simply an epiphenomenon. This puzzle lies at the heart of the measurement problem. One way to choose between the alternatives is to assume that one or the other is correct and attempt to draw physical, observable consequences which then could be empirically verified or ruled out. As a working hypothesis, we propose simple models of collapse as a real physical process for direct...

Topics: High Energy Physics - Theory, Quantum Physics, Chaotic Dynamics, General Relativity and Quantum...

Source: http://arxiv.org/abs/1612.07559

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Jun 30, 2018
06/18

by
Aamir Ali; Samriddhi Sankar Ray; Dario Vincenzi

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We study the Lagrangian dynamics of semi-flexible macromolecules in laminar as well as in homogeneous and isotropic turbulent flows by means of analytically solvable stochastic models and direct numerical simulations. The statistics of the bending angle is qualitatively different in laminar and turbulent flows and exhibits a strong dependence on the topology of the velocity field. In particular, in two-dimensional turbulence, particles are either found in a fully extended or in a fully folded...

Topics: Fluid Dynamics, Physics, Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1403.4051

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Jun 27, 2018
06/18

by
Aaron M. Hagerstrom; Thomas E. Murphy; Rajarshi Roy

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Some physical processes, including the intensity fluctuations of a chaotic laser, the detection of single photons, and the Brownian motion of a microscopic particle in a fluid are unpredictable, at least on long timescales. This unpredictability can be due to a variety of physical mechanisms, but it is quantified by an entropy rate. This rate describes how quickly a system produces new and random information, is fundamentally important in statistical mechanics and practically important for...

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1503.08182

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Jun 30, 2018
06/18

by
Abhinav Parihar; Nikhil Shukla; Suman Datta; Arijit Raychowdhury

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Computing with networks of synchronous oscillators has attracted wide-spread attention as novel materials and device topologies have enabled realization of compact, scalable and low-power coupled oscillatory systems. Of particular interest are compact and low-power relaxation oscillators that have been recently demonstrated using MIT (metal- insulator-transition) devices using properties of correlated oxides. This paper presents an analysis of the dynamics and synchronization of a system of two...

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1408.2582

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Jun 30, 2018
06/18

by
Adam M Fox; Rafael de la Llave

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In this paper we identify the geometric structures that restrict transport and mixing in perturbations of integrable volume-preserving systems with nonzero net flux. Unlike KAM tori, these objects cannot be continued to the tori present in the integrable system but are generated by resonance and have a contractible direction. We introduce a remarkably simple algorithm to analyze the behavior of these maps and obtain quantitative properties of the tori. In particular, we present assertions...

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1406.7569