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Related papers: Amplitude Death: The cessation of oscillations in …

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This paper studies the effects of coupling with distributed delay on the suppression of oscillations in a system of coupled Stuart-Landau oscillators. Conditions for amplitude death are obtained in terms of strength and phase of the…

Chaotic Dynamics · Physics 2012-09-21 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

By coupling counter--rotating coupled nonlinear oscillators, we observe a ``mixed'' synchronization between the different dynamical variables of the same system. The phenomenon of amplitude death is also observed. Results for coupled…

Chaotic Dynamics · Physics 2015-05-19 Awadhesh Prasad

The quantum dynamics of two weakly coupled nonlinear oscillators is analytically and numerically investigated in the context of nonlinear dissipation. The latter facilitates the creation and preservation of non-classical steady states.…

Quantum Physics · Physics 2013-08-09 Aurora Voje , Andreas Isacsson , Alexander Croy

We investigate the dynamical behaviour of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We…

chao-dyn · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

In this work, we investigate gradient coupling effect on amplitude death in an array of N cou- pled nonidentical oscillators with no-flux boundary conditions and periodic boundary conditions respectively. We find that the effects of…

Chaotic Dynamics · Physics 2012-06-08 Weiqing Liu , Jinghua Xiao , Lixiang Li , Ye Wu , Min Lu

We study the occurrence of frequency synchronised states with tunable emergent frequencies in a network of connected systems. This is achieved by the interplay between time scales of nonlinear dynamical systems connected to form a network,…

Chaotic Dynamics · Physics 2018-09-05 Kajari Gupta , G. Ambika

This paper studies the effects of distributed delay coupling on the dynamics in a system of non-identical coupled Stuart-Landau oscillators. For uniform and gamma delay distribution kernels, conditions for amplitude death are obtained in…

Chaotic Dynamics · Physics 2013-11-22 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Fatihcan M. Atay

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…

Chaotic Dynamics · Physics 2016-11-25 C. R. Hens , Pinaki Pal , Sourav K. Bhowmick , Prodyot K. Roy , Abhijit Sen , Syamal K. Dana

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…

Chaotic Dynamics · Physics 2014-05-27 Tanmoy Banerjee , Debarati Ghosh

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…

Chaotic Dynamics · Physics 2014-06-06 Tanmoy Banerjee , Debarati Ghosh

In a network of nonlocally coupled Stuart-Landau oscillators with symmetry-breaking coupling, we study numerically, and explain analytically, a family of inhomogeneous steady states (oscillation death). They exhibit multi-cluster patterns,…

Adaptation and Self-Organizing Systems · Physics 2015-12-09 Isabelle Schneider , Marie Kapeller , Sarah Loos , Anna Zakharova , Bernold Fiedler , Eckehard Schöll

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…

Adaptation and Self-Organizing Systems · Physics 2021-05-26 Shiva Dixit , Sayantan Nag Chowdhury , Dibakar Ghosh , Manish Dev Shrimali

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…

Chaotic Dynamics · Physics 2014-05-16 Tanmoy Banerjee , Debabrata Biswas

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…

Chaotic Dynamics · Physics 2016-08-08 Saumen Chakraborty

The interplay between time scales and structural properties of complex networks of nonlinear oscillators can generate many interesting phenomena, like amplitude death, cluster synchronization, frequency synchronization etc. We study the…

Adaptation and Self-Organizing Systems · Physics 2019-04-23 Kajari Gupta , G. Ambika

We investigate oscillation death in systems of coupled nonlinear oscillators with feedback loop. We find that feedback results in oscillation death both in small sets or large ensembles. More importantly, the death zone in parameter space…

Adaptation and Self-Organizing Systems · Physics 2011-11-15 Ming Luo

We investigate the synchronization behavior of a system of globally coupled, continuous-time oscillators possessing robust chaos. The local dynamics corresponds to the Shimizu-Morioka model where the occurrence of robust chaos in a region…

Chaotic Dynamics · Physics 2015-06-19 M. J. Palazzi , M. G. Cosenza

The emergence of rich dynamical phenomena in coupled self-sustained oscillators, primarily synchronization and amplitude death, has attracted considerable interest in several fields of science and engineering. Here, we present a…

Adaptation and Self-Organizing Systems · Physics 2022-08-10 Sneha Srikanth , Samadhan A. Pawar , Krishna Manoj , R. I. Sujith