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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…

混沌动力学 · 物理学 2014-05-27 Tanmoy Banerjee , Debarati Ghosh

In this piece of work, an important transition from amplitude death (AD) to oscillation death (OD) state in coupled Chua circuit has been explored for the first time. Here, mean field diffusively (MFD) coupled Chua circuits are when…

混沌动力学 · 物理学 2016-08-08 Saumen Chakraborty

The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact, other oscillators as well) the delay can produce…

混沌动力学 · 物理学 2020-02-14 Ryan Roopnarain , S. Roy Choudhury

We explore and experimentally demonstrate the phenomena of amplitude death (AD) and the corresponding transitions through synchronized states that lead to AD in coupled {\it intrinsic time-delayed} hyperchaotic oscillators interacting…

混沌动力学 · 物理学 2014-05-16 Tanmoy Banerjee , Debabrata Biswas

We report the existence of diverse routes of transition from amplitude death (AD) to oscillation death (OD) in three different diffusively coupled systems, those are perturbed by a symmetry break- ing repulsive coupling link. For limit…

混沌动力学 · 物理学 2016-11-25 C. R. Hens , Pinaki Pal , Sourav K. Bhowmick , Prodyot K. Roy , Abhijit Sen , Syamal K. Dana

We study oscillation death (OD) in a well-known coupled-oscillator system that has been used to model cardiovascular phenomena. We derive exact analytic conditions that allow the prediction of OD through the two known bifurcation routes, in…

适应与自组织系统 · 物理学 2012-08-08 J. J. Suarez-Vargas , J. A. Gonzalez , A. Stefanovska , P. V. E. McClintock

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…

混沌动力学 · 物理学 2015-06-22 Debarati Ghosh , Tanmoy Banerjee

Coupled limit cycle oscillators with pairwise interactions depict phase transitions to amplitude or oscillation death. This Letter introduces a scheme for higher-order interactions, which can not be decomposed into pairwise interactions. We…

适应与自组织系统 · 物理学 2023-08-08 Subhasanket Dutta , Umesh Kumar Verma , Sarika Jalan

We investigate the effects of mobility and density on the amplitude death of coupled oscillators in metapopulation networks, wherein each node represents a subpopulation with any number of mobile individuals. We perform stochastic…

适应与自组织系统 · 物理学 2013-02-15 Chuansheng Shen , Hanshuang Chen , Zhonghuai Hou

This paper investigates the emergence of amplitude death and revival of oscillations from the suppression states in a system of coupled dynamical units interacting through delayed cyclic mode. In order to resurrect the oscillation from…

混沌动力学 · 物理学 2017-07-19 Bidesh K. Bera , Soumen Majhi , Dibakar Ghosh

When nonlinear dynamical systems are coupled, depending on the intrinsic dynamics and the manner in which the coupling is organized, a host of novel phenomena can arise. In this context, an important emergent phenomenon is the complete…

混沌动力学 · 物理学 2015-03-13 Garima Saxena , Awadhesh Prasad , Ram Ramaswamy

The effects of periodically modulated coupling on amplitude death in two coupled nonidentical oscillators are explored. The AD domain could be significantly influenced by tuning the modulation amplitude and the modulation frequency of the…

混沌动力学 · 物理学 2019-04-16 Weiqing Liu , Xiaoqi Lei , Jiangnan Chen

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…

混沌动力学 · 物理学 2015-12-09 Debarati Ghosh , Tanmoy Banerjee

We report an interesting symmetry-breaking transition in coupled identical oscillators, namely the continuous transition from homogeneous to inhomogeneous limit cycle oscillations. The observed transition is the oscillatory analog of the…

Here we extend a recent review (Physics Reports {\bf 521}, 205 (2012)) of amplitude death, namely the suppression of oscillations due to the coupling interactions between nonlinear dynamical systems. This is an important emergent phenomenon…

混沌动力学 · 物理学 2014-03-05 Garima Saxena , Nirmal Punetha , Awadhesh Prasad , Ram Ramaswamy

Hamiltonian systems, when coupled {\it via} time--delayed interactions, do not remain conservative. In the uncoupled system, the motion can typically be periodic, quasiperiodic or chaotic. This changes drastically when delay coupling is…

混沌动力学 · 物理学 2015-06-15 Garima Saxena , Awadhesh Prasad , Ram Ramaswamy

Most previous studies on coupled dynamical systems assume that all interactions between oscillators take place uniformly in time, but in reality, this does not necessarily reflect the usual scenario. The heterogeneity in the timings of such…

适应与自组织系统 · 物理学 2021-05-26 Shiva Dixit , Sayantan Nag Chowdhury , Dibakar Ghosh , Manish Dev Shrimali

We propose a coupled system of fast and slow phase oscillators. We observe two-step transitions to quasi-periodic motions by direct numerical simulations of this coupled oscillator system. A low-dimensional equation for order parameters is…

适应与自组织系统 · 物理学 2016-03-23 Hidetsugu Sakaguchi , Takayuki Okita

Experimental observations of time delay induced amplitude death in a pair of coupled nonlinear electronic circuits that are individually capable of exhibiting limit cycle oscillations are described. In particular, the existence of multiply…

混沌动力学 · 物理学 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

We consider a system of two interacting identical Van der Pol Oscillators in a simple harmonic potential well. The position coupling term between the oscillators is such that there is a finite delay, i.e; each system takes a finite time to…

混沌动力学 · 物理学 2017-09-29 Satadal Datta
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