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We study the existence of chimera states in pulse-coupled networks of bursting Hindmarsh-Rose neurons with nonlocal, global and local (nearest neighbor) couplings. Through a linear stability analysis, we discuss the behavior of stability…

混沌动力学 · 物理学 2016-02-17 Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

The emergence and nature of amplitude mediated chimera states, spatio-temporal patterns of co-existing coherent and incoherent regions, are investigated for a globally coupled system of active and inactive Ginzburg-Landau oscillators. The…

混沌动力学 · 物理学 2019-01-25 Rupak Mukherjee , Abhijit Sen

We have identified the existence of globally clustered chimera states in delay coupled oscillator populations and find that these states can breathe periodically, aperiodically and become unstable depending upon the value of coupling delay.…

适应与自组织系统 · 物理学 2015-05-13 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

We obtain experimental chimera states in the minimal network of three identical mechanical oscillators (metronomes), by introducing phase-lagged all-to-all coupling. For this, we have developed a real-time model-in-the-loop coupling…

适应与自组织系统 · 物理学 2020-10-08 Pezhman Ebrahimzadeh , Michael Schiek , Patrycja Jaros , Tomasz Kapitaniak , Stefan van Waasen , Yuri Maistrenko

A prominent type of collective dynamics in networks of coupled oscillators is the coexistence of coherently and incoherently oscillating domains, known as chimera states. Chimera states exhibit various macroscopic dynamics with different…

混沌动力学 · 物理学 2023-05-17 Seungjae Lee , Katharina Krischer

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial…

斑图形成与孤子 · 物理学 2024-02-20 Zachary G. Nicolaou , Jason J. Bramburger

We identify the mechanism behind the existence of intensity induced chimera states in globally coupled oscillators. We find that the effect of intensity in the system is to cause multistability by increasing the number of fixed points. This…

适应与自组织系统 · 物理学 2015-06-22 V. K. Chandrasekar , R. Gopal , A. Venkatesan , M. Lakshmanan

We numerically investigate the onset of multi-chimera states in a linear array of coupled oscillators. As the phase delay $\alpha$ is increased, they exhibit a continuous transition from the globally synchronized state to the multichimera…

适应与自组织系统 · 物理学 2019-07-18 Katsuya Kawase , Nariya Uchida

Chimera states, i.e., dynamical states composed of coexisting synchronous and asynchronous oscillations, have been reported to exist in diverse topologies of oscillators in simulations and experiments. Two-population networks with distinct…

适应与自组织系统 · 物理学 2021-11-24 Seungjae Lee , Katharina Krischer

We have investigated synchronized pattern in a network of Thomas oscillators coupled with sinusoidal nonlinear coupling. Pattern like chimera states are not only observed for many non-locally coupled oscillators but there is a signature of…

适应与自组织系统 · 物理学 2021-04-14 Vinesh Vijayan , Biplab Ganguli

We consider an array of non-locally coupled oscillators on a ring, which for equally spaced units possesses a Kuramoto-Battogtokh chimera regime and a synchronous state. We demonstrate that disorder in oscillators positions leads to a…

斑图形成与孤子 · 物理学 2021-09-15 L. A. Smirnov , M. I. Bolotov , G. V. Osipov , A. Pikovsky

Chimera states in systems of nonlocally coupled oscillators, i.e., self-organized coexistence of coherent and incoherent oscillator populations, have attracted much attention. In this study, we consider the effect of frequency…

适应与自组织系统 · 物理学 2025-02-06 Petar Mircheski , Hiroya Nakao

We propose a control scheme which can stabilize and fix the position of chimera states in small networks. Chimeras consist of coexisting domains of spatially coherent and incoherent dynamics in systems of nonlocally coupled identical…

适应与自组织系统 · 物理学 2016-03-23 Iryna Omelchenko , Oleh E. Omel'chenko , Anna Zakharova , Matthias Wolfrum , Eckehard Schoell

Solitary states emerge in oscillator networks when one oscillator separates from the fully synchronized cluster and becomes incoherent with the rest of the network. Such chimera-type patterns with an incoherent state formed by a single…

斑图形成与孤子 · 物理学 2022-03-02 V. O. Munyaev , M. I. Bolotov , L. A. Smirnov , G. V. Osipov , I. V. Belykh

We report the emergence of peculiar chimera states in networks of identical pendula with global phase-lagged coupling. The states reported include both rotating and quiescent modes, i.e. with non-zero and zero average frequencies. This kind…

斑图形成与孤子 · 物理学 2022-11-09 P. Ebrahimzadeh , M. Schiek , Y. Maistrenko

Recently a novel dynamical state, called the {\it chimera death}, is discovered in a network of non locally coupled identical oscillators [A. Zakharova, M. Kapeller, and E. Sch\"oll, Phy.Rev.Lett. 112, 154101 (2014)], which is defined as…

混沌动力学 · 物理学 2014-09-30 Tanmoy Banerjee

We show that amplitude chimeras in ring networks of Stuart-Landau oscillators with symmetry-breaking nonlocal coupling represent saddle-states in the underlying phase space of the network. Chimera states are composed of coexisting spatial…

适应与自组织系统 · 物理学 2017-04-05 L. Tumash , A. Zakharova , J. Lehnert , W. Just , E. Schöll

We study collective dynamics of networks of mutually coupled identical Lorenz oscillators near subcritical Hopf bifurcation. This system shows induced multistable behavior with interesting spatio-temporal dynamics including synchronization,…

混沌动力学 · 物理学 2022-07-20 Anjuman Ara Khatun , Yusra Ahmed Saeed , Nirmal Punetha , Haider Hasan Jafri

Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units similar patterns, where coherent units are at rest, are called bump states. Here,…

斑图形成与孤子 · 物理学 2023-06-21 Igor Franović , Oleh E. Omel'chenko , Matthias Wolfrum

We analyze nonlocally coupled networks of identical chaotic oscillators with either time-discrete or time-continuous dynamics (Henon map, Lozi map, Lorenz system). We hypothesize that chimera states, in which spatial domains of coherent…

适应与自组织系统 · 物理学 2016-01-20 Nadezhda Semenova , Anna Zakharova , Eckehard Schöll , Vadim Anishchenko