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We report the emergence of stable amplitude chimeras and chimera death in a two-layer network where one layer has an ensemble of identical nonlinear oscillators interacting directly through local coupling and indirectly through dynamic…

Adaptation and Self-Organizing Systems · Physics 2020-06-15 Umesh Kumar Verma , G. Ambika

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…

Chaotic Dynamics · Physics 2014-05-06 Yulia P. Emelianova , Valeriy V. Emelyanov , Nikita M. Ryskin

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

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…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Weiqing Liu , Xingang Wang , Shuguang Guan , Choy Heng Lai

We numerically investigate the complex nonlinear dynamics for two independently coupled laser systems consisting of (i) mutually delay-coupled edge emitting diode lasers and (ii) injection-locked quantum nano-structures lasers. A…

Optics · Physics 2015-06-12 Pramod Kumar , Frédéric Grillot

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

We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of coupled Stuart--Landau oscillators. To this end a network model is…

Adaptation and Self-Organizing Systems · Physics 2014-09-16 Carolin Wille , Judith Lehnert , Eckehard Schöll

We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Caglar Cakan , Judith Lehnert , Eckehard Schöll

We study the interplay between network topology and complex space-time patterns and introduce a concept to analytically predict complex patterns in networks of Stuart-Landau oscillators with linear symmetric and instantaneous coupling based…

Adaptation and Self-Organizing Systems · Physics 2015-02-19 Winnie Poel , Anna Zakharova , Eckehard Schöll

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…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 C. R. Hens , Olasunkanmi I. Olusola , Pinaki Pal , Syamal K. Dana

We study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling. Detailed bifurcation diagrams in the parameter space of the forcing amplitude and forcing frequency…

Chaotic Dynamics · Physics 2007-05-23 D. V. Ramana Reddy , A. Sen , G. L. Johnston

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…

Biological Physics · Physics 2015-06-19 Kyung-Joong Kim , Kang-Hun Ahn

We investigated the locking behaviors of coupled limit-cycle oscillators with phase and amplitude dynamics. We focused on how the dynamics are affected by inhomogeneous coupling strength and by angular and radial shifts in the coupling…

Dynamical Systems · Mathematics 2021-01-19 Jae Hyung Woo , Christopher J. Honey , Joon-Young Moon

In this study, we construct such systems with the Kuramoto model of globally coupled oscillators with time-delayed positive and negative couplings to explore the impact of coupling time delays in the collective frequency of synchronized…

Biological Physics · Physics 2024-08-13 Hui Wu , Mukesh Dhamala

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

Recently, the explosive phase transitions, such as explosive percolation and explosive synchronization, have attracted extensive research interest. So far, most existing works investigate Kuramoto-type models, where only phase variables are…

Adaptation and Self-Organizing Systems · Physics 2017-03-02 Hongjie Bi , Xin Hu , Xiyun Zhang , Yong Zou , Zonghua Liu , Shuguang Guan

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 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 investigate the impact of a common external system, which we call a common environment, on the Oscillator Death (OD) states of a group of Stuart-Landau oscillators. The group of oscillators yield a completely symmetric OD state when…

Adaptation and Self-Organizing Systems · Physics 2018-10-03 Sudhanshu Shekhar Chaurasia , Manish Yadav , Sudeshna Sinha

The effect of time-delayed coupling on the collective behavior of a population of globally coupled complex Ginzburg-Landau (GCCGL) oscillators is investigated. A detailed numerical study is carried out to study the impact of time delay on…

Adaptation and Self-Organizing Systems · Physics 2019-05-22 Bhumika Thakur , Abhijit Sen