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Study of collective phenomenon in populations of coupled oscillators are a subject of intense exploration in physical, biological, neuronal and social systems. Here we propose a scheme for the creation of chimera states, namely the…

混沌动力学 · 物理学 2019-03-08 Anjuman Ara Khatun , Haider Hasan Jafri

The dynamics of a large array of coupled semiconductor lasers is studied for a nonlocal coupling scheme. Our focus is on chimera states, a self-organized spatio-temporal pattern of co-existing coherence and incoherence. In laser systems,…

斑图形成与孤子 · 物理学 2017-09-27 J. Shena , J. Hizanidis , P. Hövel , G. P. Tsironis

Nonlinear effects are the root of interesting phenomena such as masers and lasers, and play a significant role in science and engineering. In spin systems, nonlinear spin dynamics is crucial for the prediction of complex dynamical behavior…

量子气体 · 物理学 2024-10-23 Tishuo Wang , Zhihuang Luo , Shizhong Zhang , Zhenhua Yu

Since the discovery of chimera states, the presence of a nonzero phase lag parameter turns out to be an essential attribute for the emergence of chimeras in a nonlocally coupled identical Kuramoto phase oscillators' network with pairwise…

混沌动力学 · 物理学 2022-04-22 Srilena Kundu , Dibakar Ghosh

We analyze the consequences of symmetry breaking in the coupling in a network of globally coupled identical Stuart-Landau oscillators. We observe that symmetry breaking leads to increased disorderliness in the dynamical behavior of…

适应与自组织系统 · 物理学 2015-08-24 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

Chimera states have attracted significant attention as symmetry-broken states exhibiting the unexpected coexistence of coherence and incoherence. Despite the valuable insights gained from analyzing specific systems, an understanding of the…

适应与自组织系统 · 物理学 2021-03-10 Yuanzhao Zhang , Adilson E. Motter

Chimeras are surprising yet important states in which domains of decoherent (asynchronous) and coherent (synchronous) oscillations co-exist. In this article, we report on the discovery of a new class of chimeras, called {\it mixed-amplitude…

斑图形成与孤子 · 物理学 2021-12-22 Tasso J. Kaper , Theodore Vo

We investigate the significance of nonisochronicity parameter in a network of nonlocally coupled Stuart-Landau oscillators with symmetry breaking form. We observe that the presence of nonisochronicity parameter leads to structural changes…

混沌动力学 · 物理学 2016-05-18 K. Premalatha , V. K. Chandrasekar , M. Senthilvelan , M. Lakshmanan

The coexistence of coherent and incoherent domains, namely the appearance of chimera states, is being studied extensively in many contexts of science and technology since the past decade, though the previous studies are mostly built on the…

混沌动力学 · 物理学 2019-02-05 Srilena Kundu , Bidesh K. Bera , Dibakar Ghosh , M. Lakshmanan

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

混沌动力学 · 物理学 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

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

In a network of pulse-coupled oscillators with adaptive coupling, we a dynamical regime which we call an `itinerant chimera'. Similarly as in classical chimera states, the network splits into two domains, the coherent and the incoherent…

混沌动力学 · 物理学 2019-02-13 Dmitry Kasatkin , Vladimir Klinshov , Vladimir Nekorkin

We find chimera states with respect to amplitude dynamics in a network of Stuart-Landau oscillators. These partially coherent and partially incoherent spatio-temporal patterns appear due to the interplay of nonlocal network topology and…

适应与自组织系统 · 物理学 2016-08-02 Anna Zakharova , Marie Kapeller , Eckehard Schöll

Arrays of identical limit-cycle oscillators have been used to model a wide variety of pattern-forming systems, such as neural networks, convecting fluids, laser arrays, and coupled biochemical oscillators. These systems are known to exhibit…

斑图形成与孤子 · 物理学 2013-06-13 Daniel M. Abrams , Steven H. Strogatz

A system of two coupled ensembles of phase oscillators can follow different routes to inter-ensemble synchronization. Following a short report of our preliminary results [Phys. Rev. E. {\bf 78}, 025201(R) (2008)], we present a more detailed…

适应与自组织系统 · 物理学 2009-11-13 Jane H. Sheeba , V. K. Chandrasekar , Aneta Stefanovska , Peter V. E. McClintock

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

The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work we investigate the…

斑图形成与孤子 · 物理学 2018-10-16 N. D. Tsigkri-DeSmedt , I. Koulierakis , G. Karakos , A. Provata

We investigate the coherent population trapping resonance induced by a polychromatic optical field with an asymmetric spectrum, i.e., whose sidebands equidistant from the carrier have unequal powers. A situation is considered where a…

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

About two decades ago it was discovered that systems of nonlocally coupled oscillators can exhibit unusual symmetry-breaking patterns composed of coherent and incoherent regions. Since then such patterns, called chimera states, have been…

适应与自组织系统 · 物理学 2022-01-11 Oleh Omel'chenko