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Collective temporal organization in complex systems is commonly attributed to synchronization, resonance, or proximity to dynamical instabilities. Here we identify a distinct mechanism by which coherent, synchronization-like behavior can…

Adaptation and Self-Organizing Systems · Physics 2026-03-10 V. Troude , D. Sornette

Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with two oscillators being synchronized. We report that these…

Chaotic Dynamics · Physics 2018-05-30 Felix P. Kemeth , Sindre W. Haugland , Katharina Krischer

Coupled hair cells of the auditory and vestibular systems perform the crucial task of converting the energy of sound waves and ground-borne vibrations into ionic currents. We mechanically couple groups of living, active hair cells with…

Adaptation and Self-Organizing Systems · Physics 2021-08-25 Justin Faber , Dolores Bozovic

We consider two coupled populations of leaky integrate-and-fire neurons. Depending on the coupling strength, mean fields generated by these populations can have incommensurate frequencies, or become frequency locked. In the observed 2:1…

Adaptation and Self-Organizing Systems · Physics 2016-03-23 M. I. Bolotov , G. V. Osipov , A. Pikovsky

When a dynamical system contains several different modes of oscillations it may behave in a variety of ways: If the modes oscillate at their own individual frequencies, it exhibits quasiperiodic behavior; when the modes lock to one another…

Chaotic Dynamics · Physics 2012-01-04 Mogens H. Jensen , Leo P. Kadanoff

In this paper we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through {\it local}, synaptic {\it gradient} coupling. We discover a new chimera pattern, namely the {\it imperfect traveling…

Chaotic Dynamics · Physics 2016-07-20 Bidesh K. Bera , Dibakar Ghosh , Tanmoy Banerjee

We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, in ring networks of FitzHugh-Nagumo oscillators with fractal…

Adaptation and Self-Organizing Systems · Physics 2019-03-27 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

Coherent oscillatory activity can arise spontaneously as a result of increased coupling in a system of excitable and passive cells, each being quiescent in isolation. This can potentially explain the appearance of spontaneous rhythmic…

Disordered Systems and Neural Networks · Physics 2012-12-17 Jinshan Xu , Rajeev Singh , Nicolas Garnier , Sitabhra Sinha , Alain Pumir

Chimera states are a phenomenon in which order and disorder can co-exist within a network that is fully homogeneous. Precisely how transient chimeras emerge in finite networks of Kuramoto oscillators with phase-lag remains unclear.…

Chaotic Dynamics · Physics 2023-11-03 Roberto C. Budzinski , James W. C. Graham , Ján Mináč , Lyle E. Muller

Chimeras occur in networks of two coupled populations of oscillators when the oscillators in one population synchronise while those in the other are asynchronous. We consider chimeras of this form in networks of planar oscillators for which…

Dynamical Systems · Mathematics 2022-02-23 Carlo R. Laing

We address the dynamics of nonclassicality for a quantum system interacting with a noisy fluctuating environment described by a classical stochastic field. As a paradigmatic example, we consider a harmonic oscillator initially prepared in a…

Quantum Physics · Physics 2015-10-27 Jacopo Trapani , Matteo Bina , Sabrina Maniscalco , Matteo G. A. Paris

Nonlocally coupled oscillators with a phase lag self-organize into various patterns such as global synchronization, the twisted state, and the chimera state. In this paper, we consider nonlocally coupled oscillators that move on a ring by…

Adaptation and Self-Organizing Systems · Physics 2022-11-17 Bojun Li , Nariya Uchida

We demonstrate that chimera behavior can be observed in ensembles of phase oscillators with unidirectional coupling. For a small network consisting of only three identical oscillators (cyclic triple), tiny {\it chimera islands} arise in the…

Chaotic Dynamics · Physics 2021-10-27 Patrycja Jaros , Roman Levchenko , Tomasz Kapitaniak , Yuri Maistrenko

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

Quantum Physics · Physics 2019-09-04 Loic Henriet

We consider an adaptive network, whose connection weights co-evolve in congruence with the dynamical states of the local nodes that are under the influence of an external stimulus. The adaptive dynamical system mimics the adaptive synaptic…

Disordered Systems and Neural Networks · Physics 2022-04-06 S. Thamizharasan , V. K. Chandrasekar , M. Senthilvelan , Rico Berner , Eckehard Schoell , D. V. Senthilkumar

Chimera states -- named after the mythical beast with a lion's head, a goat's body, and a dragon's tail -- correspond to spatiotemporal patterns characterised by the coexistence of coherent and incoherent domains in coupled systems. They…

By developing the concepts of strength of incoherence and discontinuity measure, we show that a distinct quantitative characterization of chimera and multichimera states which occur in networks of coupled nonlinear dynamical systems…

Chaotic Dynamics · Physics 2015-06-19 R. Gopal , V. K. Chandrasekar , A. Venkatesan , M. Lakshmanan

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

We investigate an array of identical phase oscillators non-locally coupled without time delay, and find that chimera state with two coherent clusters exists which is only reported in delay-coupled systems previously. Moreover, we find that…

Chaotic Dynamics · Physics 2015-05-30 Yun Zhu , Yuting Li , Mei Zhang , Junzhong Yang

Chimera states are a captivating occurrence in which a system composed of multiple interconnected elements exhibits a distinctive combination of synchronized and desynchronized behavior. The emergence of these states can be attributed to…

Statistical Mechanics · Physics 2024-06-27 Mahbub Rahaman , Akitada Sakurai , Analabha Roy