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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…

混沌动力学 · 物理学 2015-05-19 Awadhesh Prasad

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 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

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 consider a network of delay dynamical systems connected in a ring via unidirectional positive feedback with constant delay in coupling. For the specific case of Mackey-Glass systems on the ring topology, we capture the phenomena of…

混沌动力学 · 物理学 2015-06-18 Chiranjit Mitra , G. Ambika , Soumitro Banerjee

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 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

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

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

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

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

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…

混沌动力学 · 物理学 2013-11-22 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

Hair cells conduct auditory transduction in vertebrates. In lower vertebrates such as frogs and turtles, due to the active mechanism in hair cells, hair bundles(stereocilia) can be spontaneously oscillating or quiescent. Recently, the…

生物物理 · 物理学 2015-06-19 Kyung-Joong Kim , Kang-Hun Ahn

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

混沌动力学 · 物理学 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

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

Transition to amplitude death in scale-free networks of nonlinear oscillators is investigated. As the coupling strength increases, the network will undergo three stages in approaching to the state of complete amplitude death. The first…

适应与自组织系统 · 物理学 2015-05-13 Weiqing Liu , Xingang Wang , Shuguang Guan , Choy Heng Lai

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…

混沌动力学 · 物理学 2012-06-08 Weiqing Liu , Jinghua Xiao , Lixiang Li , Ye Wu , Min Lu

Quenching of oscillations, namely amplitude and oscillations death, is an emerging phenomenon exhibited by many real-world complex systems. Here, we introduce a scheme that combines dissimilar couplings and repulsive feedback links for the…

适应与自组织系统 · 物理学 2022-11-08 Subhasanket Dutta , Omar Alamoudi , Yash Shashank Vakilna , Sandipan Pati , Sarika Jalan

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

A form of "remote synchronization" was recently described wherein amplitude fluctuations across a ring of non-identical, non-linear electronic oscillators become entrained into spatially-structured patterns. According to linear models and…

混沌动力学 · 物理学 2018-06-26 Ludovico Minati , Luca Faes , Mattia Frasca , Pawel Oswiecimka , Stanislaw Drozdz