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Sep 22, 2013
09/13

by
Tanmoy Banerjee

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The present paper reports an inductor-free realization of Chua's circuit, which is designed by suitably cascading a single amplifier biquad based active band pass filter with a Chua's diode. The system has been mathematically modeled with three-coupled first-order autonomous nonlinear differential equations. It has been shown through numerical simulations of the mathematical model and hardware experiments, that the circuit emulates the behaviors of a classical Chua's circuit, e.g., fixed point...

Source: http://arxiv.org/abs/1210.8409v1

2
2.0

Jun 30, 2018
06/18

by
Tanmoy Banerjee

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Recently a novel dynamical state, called the {\it chimera death}, is discovered in a network of non locally coupled identical oscillators [A. Zakharova, M. Kapeller, and E. Sch\"oll, Phy.Rev.Lett. 112, 154101 (2014)], which is defined as the coexistence of spatially coherent and incoherent oscillation death state. This state arises due to the interplay of non locality and symmetry breaking and thus bridges the gap between two important dynamical states, namely the chimera and oscillation...

Topics: Nonlinear Sciences, Pattern Formation and Solitons, Chaotic Dynamics

Source: http://arxiv.org/abs/1409.7895

2
2.0

Jun 30, 2018
06/18

by
Tanmoy Banerjee; Debarati Ghosh

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We study the transition from amplitude death (AD) to oscillation death (OD) state in limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling scheme can induce an important transition from AD to OD even in {\it identical} limit cycle oscillators. We identify a parameter region where OD and a novel {\it nontrivial} AD (NT-AD) state coexist. This NT-AD state is unique in comparison with AD owing to the fact that it is created by a subcritical pitchfork bifurcation,...

Topics: Nonlinear Sciences, Pattern Formation and Solitons, Chaotic Dynamics

Source: http://arxiv.org/abs/1403.2907

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3.0

Jun 28, 2018
06/18

by
Debarati Ghosh; Tanmoy Banerjee

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We report a new collective dynamical state, namely the {\it mixed mode oscillation suppression} state where different set of variables of a system of coupled oscillators show different types of oscillation suppression states. We identify two variants of it: The first one is a {\it mixed mode death} (MMD) state where a set of variables of a system of coupled oscillators show an oscillation death (OD) state, while the rest are in an amplitude death (AD) state under the identical parametric...

Topics: Chaotic Dynamics, Nonlinear Sciences, Adaptation and Self-Organizing Systems

Source: http://arxiv.org/abs/1508.04398

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27

Sep 23, 2013
09/13

by
Tanmoy Banerjee; Debabrata Biswas

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We explore and experimentally demonstrate the phenomena of amplitude death and other synchronized states in coupled time-delay hyperchaotic systems interacting through mean-field diffusion. Studies in the parameter space reveal that, with increasing coupling strength, the coupled systems make a transition from the unsynchronized state to amplitude death state via in-phase (complete) synchronized states. We employ Krasovskii--Lyapunov theory to derive the sufficient parametric condition of...

Source: http://arxiv.org/abs/1305.0150v1

2
2.0

Jun 30, 2018
06/18

by
Debarati Ghosh; Tanmoy Banerjee

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We report the transitions among different oscillation quenching states induced by the interplay of diffusive (direct) coupling and environmental (indirect) coupling in coupled identical oscillators. This coupling scheme was introduced by Resmi {\it et al}. [Phys. Rev. E, 84, 046212 (2011)] as a general scheme to induce amplitude death (AD) in nonlinear oscillators. Using a detailed bifurcation analysis we show that in addition to AD, which actually occurs only in a small region of parameter...

Topics: Nonlinear Sciences, Pattern Formation and Solitons, Chaotic Dynamics

Source: http://arxiv.org/abs/1409.1063

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50

Sep 23, 2013
09/13

by
Tanmoy Banerjee; Debabrata Biswas

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The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system can show in-phase or complete synchronization, and also inverse-phase or anti-synchronization. This paper reports the first experimental confirmation of synchronization of hyperchaos in time-delayed electronic oscillators coupled indirectly through a common...

Source: http://arxiv.org/abs/1303.5339v1

2
2.0

Jun 30, 2018
06/18

by
Tanmoy Banerjee; Debarati Ghosh

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We report the first experimental evidence of an important transition scenario, namely the transition from amplitude death (AD) to oscillation death (OD) state in coupled limit cycle oscillators. We consider two Van der Pol oscillators coupled through mean-field diffusion and show that this system exhibits a transition from AD to OD, which was earlier shown for Stuart-Landau oscillators under the same coupling scheme [T. Banerjee and D. Ghosh, arXiv:1403.2907, 2014]. We show that the AD-OD...

Topics: Nonlinear Sciences, Chaotic Dynamics

Source: http://arxiv.org/abs/1404.0693

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9.0

Jun 27, 2018
06/18

by
Partha Sharathi Dutta; Tanmoy Banerjee

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We report a novel spatiotemporal state, namely the chimera-like incongruous coexistence of {\it synchronized oscillation} and {\it stable steady state} (CSOD) in a realistic ecological network of nonlocally coupled oscillators. Unlike the {\it chimera} and {\it chimera death} state, in the CSOD state identical oscillators are self-organized into two coexisting spatially separated domains: In one domain neighboring oscillators show synchronized oscillation and in another domain the neighboring...

Topics: Chaotic Dynamics, Nonlinear Sciences, Adaptation and Self-Organizing Systems

Source: http://arxiv.org/abs/1506.00495

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5.0

Jun 28, 2018
06/18

by
Debarati Ghosh; Tanmoy Banerjee; Jürgen Kurths

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The revival of oscillation and maintaining rhythmicity in a network of coupled oscillators offer an open challenge to researchers as the cessation of oscillation often leads to a fatal system degradation and an irrecoverable malfunctioning in many physical, biological and physiological systems. Recently a general technique of restoration of rhythmicity in diffusively coupled networks of nonlinear oscillators has been proposed in [Zou et al. Nature Commun. 6:7709, 2015], where it is shown that a...

Topics: Chaotic Dynamics, Nonlinear Sciences, Adaptation and Self-Organizing Systems

Source: http://arxiv.org/abs/1508.07835

2
2.0

Jun 29, 2018
06/18

by
Debabrata Biswas; Tanmoy Banerjee; Jürgen Kurths

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Birhythmicity arises in several physical, biological and chemical systems. Although, many control schemes are proposed for various forms of multistability, only a few exist for controlling birhythmicity. In this paper we investigate the control of birhythmic oscillation by introducing a self-feedback mechanism that incorporates the variable to be controlled and its canonical conjugate. Using a detailed analytical treatment, bifurcation analysis and experimental demonstrations we establish that...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1610.04722

2
2.0

Jun 30, 2018
06/18

by
Anubhav Gupta; Tanmoy Banerjee; Partha Sharathi Dutta

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Understanding the influence of structure of dispersal network on the species persistence and modeling a much realistic species dispersal in nature are two central issues in spatial ecology. A realistic dispersal structure which favors the persistence of interacting ecological systems has been studied in [Holland \& Hastings, Nature, 456:792--795 (2008)], where it is shown that a randomization of the structure of dispersal network in a metapopulation model of prey and predator increases the...

Topics: Populations and Evolution, Quantitative Biology, Nonlinear Sciences, Adaptation and Self-Organizing...

Source: http://arxiv.org/abs/1703.01503

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2.0

Jun 29, 2018
06/18

by
Ramesh Arumugam; Tanmoy Banerjee; Partha Sharathi Dutta

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We investigate the complex spatiotemporal dynamics of an ecological network with species dispersal mediated via a mean-field coupling. The local dynamics of the network are governed by the Truscott--Brindley model, which is an important ecological model showing excitability. Our results focus on the interplay of excitability and dispersal by always considering that the individual nodes are in their (excitable) steady states. In contrast to the previous studies, we not only observe the dispersal...

Topics: Nonlinear Sciences, Adaptation and Self-Organizing Systems

Source: http://arxiv.org/abs/1609.01836

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2.0

Jun 29, 2018
06/18

by
Ramesh Arumugam; Partha Sharathi Dutta; Tanmoy Banerjee

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How do landscape fragmentation affects ecosystems diversity and stability is an important and complex question in ecology with no simple answer, as spatially separated habitats where species live are highly dynamic rather than just static. Taking into account the species dispersal among nearby connected habitats (or patches) through a common dynamic environment, we model the consumer-resource interactions with ring type coupled network. Characterizing the dynamics of consumer-resource...

Topics: Pattern Formation and Solitons, Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1604.03150

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2.0

Jun 29, 2018
06/18

by
Bidesh K. Bera; Dibakar Ghosh; Tanmoy Banerjee

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In this paper we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through {\it local}, synaptic {\it gradient} coupling. We discover a new chimera pattern, namely the {\it imperfect traveling chimera} where the incoherent traveling domain spreads into the coherent domain of the network. Remarkably, we also find that chimera states arise even for {\it one-way} local coupling, which is in contrast to the earlier belief that only nonlocal, global or...

Topics: Chaotic Dynamics, Nonlinear Sciences

Source: http://arxiv.org/abs/1604.07936

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2.0

Jun 29, 2018
06/18

by
Tanmoy Banerjee; Partha Sharathi Dutta; Anna Zakharova; Eckehard Schoell

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This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long range interaction that obeys a distance-dependent power law. This type of interaction is common in physics and biology and constitutes a general form of coupling scheme, where by tuning the power-law exponent of the long range interaction the coupling topology can be varied from local via nonlocal to global coupling. To...

Topics: Chaotic Dynamics, Nonlinear Sciences, Adaptation and Self-Organizing Systems

Source: http://arxiv.org/abs/1605.04120