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Amplitude death can occur in chaotic dynamical systems with time-delay coupling, similar to the case of coupled limit cycles. The coupling leads to stabilization of fixed points of the subsystems. This phenomenon is quite general, and…

混沌动力学 · 物理学 2011-11-24 Awadhesh Prasad

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

A death of oscillation is reported in a network of coupled synchronized oscillators in presence of additional repulsive coupling. The repulsive link evolves as an averaging effect of mutual interaction between two neighboring oscillators…

适应与自组织系统 · 物理学 2015-06-17 C. R. Hens , Olasunkanmi I. Olusola , Pinaki Pal , Syamal K. Dana

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

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…

适应与自组织系统 · 物理学 2011-11-15 Ming Luo

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · 物理学 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

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…

混沌动力学 · 物理学 2015-06-19 M. J. Palazzi , M. G. Cosenza

Effects of synchronization in a system of two coupled oscillators with time-delayed feedback are investigated. Phase space of a system with time delay is infinite-dimensional. Thus, the picture of synchronization in such systems acquires…

混沌动力学 · 物理学 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

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

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

适应与自组织系统 · 物理学 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

We investigate spatio-temporal dynamics of a 2D ensemble of nonlocally coupled chaotic cubic maps in a bistability regime. In particular, we perform a detailed study on the transition "coherence -- incoherence" for varying coupling strength…

We theoretically study analytic-phase synchronization in strongly-competing oscillator systems. Using the example of composite-cavity modes coupled via a class-B laser active medium, we discover that inherent chaotic phase synchronization…

混沌动力学 · 物理学 2007-05-23 Sebastian Wieczorek , Weng W. Chow

The behaviors of coupled chaotic oscillators before complete synchronization were investigated. We report three phenomena: (1) The emergence of long-time residence of trajectories besides one of the saddle foci; (2) The tendency that orbits…

混沌动力学 · 物理学 2009-11-11 Bin Ao , Zhigang Zheng

We consider an array of nearest-neighbor coupled nonlinear autonomous oscillators with quenched random frequencies and purely conservative coupling. We show that global phase-locked states emerge in finite lattices and study numerically…

混沌动力学 · 物理学 2022-01-26 Stefano Lepri , Arkady Pikovsky

We present a new model of BEC dynamics based on strong confinement near the ground state. The model predicts oscillations in a two-component condensate, based on interference of non-spreading wave packets moving within a pair of tilted…

凝聚态物理 · 物理学 2009-10-31 Q-Han Park , J. H. Eberly

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

The phenomenon of amplitude death has been explored using a variety of different coupling strategies in the last two decades. In most of the work, the basic coupling arrangement is considered to be static over time, although many realistic…

混沌动力学 · 物理学 2017-08-02 Soumen Majhi , Dibakar Ghosh

We explore analytically the oscillation quenching phenomena (amplitude death and oscillation death) in a coupled third order phase locked loop (PLL) both in periodic and chaotic mode. The phase locked loops are coupled through mean field…

混沌动力学 · 物理学 2016-11-15 S Chakraborty , M Dandapathak , B C Sarkar

We study the conditions of amplitude death in a network of delay-coupled limit cycle oscillators by including time-varying delay in the coupling and self-feedback. By generalizing the master stability function formalism to include…

混沌动力学 · 物理学 2014-03-25 Aleksandar Gjurchinovski , Anna Zakharova , Eckehard Schöll

We study the collective behaviors in a ring of coupled nonidentical nonlinear oscillators with unidirectional coupling, of which natural frequencies are distributed in a random way. We find the amplitude death phenomena in the case of…

混沌动力学 · 物理学 2017-08-30 Jung-Wan Ryu , Jong-Ho Kim , Woo-Sik Son , Dong-Uk Hwang
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