2
2.0
Apr 27, 2016
04/16
Apr 27, 2016
by
Bidesh K. Bera; Chittaranjan Hens; Sourav K. Bhowmick; Pinaki Pal; Dibakar Ghosh
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We report a transition from homogeneous steady state to inhomogeneous steady state in coupled oscillators, both limit cycle and chaotic, under cyclic coupling and diffusive coupling as well when an asymmetry is introduced in terms of a negative parameter mismatch. Such a transition appears in limit cycle systems via pitchfork bifurcation as usual. Especially, when we focus on chaotic systems, the transition follows a transcritical bifurcation for cyclic coupling while it is a pitchfork...
Topics: Chaotic Dynamics, Nonlinear Sciences
Source: http://arxiv.org/abs/1604.07943
3
3.0
Apr 27, 2016
04/16
Apr 27, 2016
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
7
7.0
Jul 9, 2015
07/15
Jul 9, 2015
by
Bidesh K. Bera; Dibakar Ghosh; M. Lakshmanan
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We study the existence of chimera states in pulse-coupled networks of bursting Hindmarsh-Rose neurons with nonlocal, global and local (nearest neighbor) couplings. Through a linear stability analysis, we discuss the behavior of stability function in the incoherent (i.e. disorder), coherent, chimera and multi-chimera states. Surprisingly, we find that chimera and multi-chimera states occur even using local nearest neighbor interaction in a network of identical bursting neurons alone. This is in...
Topics: Chaotic Dynamics, Nonlinear Sciences
Source: http://arxiv.org/abs/1507.02371
