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Adaptive coupling, where the coupling is dynamical and depends on the behaviour of the oscillators in a complex system, is one of the most crucial factors to control the dynamics and streamline various processes in complex networks. In this…

适应与自组织系统 · 物理学 2014-06-17 V. K. Chandrasekar , Jane H. Sheeba , B. Subash , M. Lakshmanan , J. Kurths

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

适应与自组织系统 · 物理学 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

We investigate the synchronization of oscillators based on anharmonic nanoelectromechanical resonators. Our experimental implementation allows unprecedented observation and control of parameters governing the dynamics of synchronization. We…

介观与纳米尺度物理 · 物理学 2014-01-15 M. H. Matheny , M. Grau , L. G. Villanueva , R. B. Karabalin , M. C. Cross , M. L. Roukes

Topologies of two, three and four time-delay-coupled chaotic semiconductor lasers are experimentally and theoretically found to show new types of synchronization. Shifted zero-lag synchronization is observed for two lasers separated by long…

混沌动力学 · 物理学 2011-11-29 Y. Aviad , I. Reidler , M. Zigzag , M. Rosenbluh , I. Kanter

Synchronization of coupled oscillators is a ubiquitous phenomenon found throughout nature. Its robust realization is crucial to our understanding of various nonlinear systems, ranging from biological functions to electrical engineering. On…

适应与自组织系统 · 物理学 2022-07-27 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

Owing to the absence of the phase space attractors in the Hamiltonian dynamical systems, the concept of the identical synchronization between the dissipative systems is inapplicable to the Hamiltonian systems for which, thus, one defines a…

混沌动力学 · 物理学 2018-12-18 Anupam Ghosh , Tirth Shah , Sagar Chakraborty

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

混沌动力学 · 物理学 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

适应与自组织系统 · 物理学 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

Anticipated synchronisation occurs when a driven dynamical system synchronises with the future state of the driver system to which it is unidirectionally coupled. Previous theoretical and experimental studies have focused on setups with a…

混沌动力学 · 物理学 2026-03-04 David Ortiz del Campo , Tobias Galla , Raúl Toral

The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

动力系统 · 数学 2014-07-29 Saeed Manaffam , Alireza Seyedi

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

We present an approach which enables to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another…

统计力学 · 物理学 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We investigate second-order nonlinear processes in a system of two coupled identical optical micro-resonators. The double resonance and phase-matching conditions are simultaneously obtained thanks to the frequency splitting induced by the…

光学 · 物理学 2025-10-03 Yannick Dumeige , Yoan Léger

We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase…

适应与自组织系统 · 物理学 2010-07-02 Ken H. Nagai , Hiroshi Kori

In this paper, we report the enhanced stability of induced synchronization by transient uncoupling observed in certain unidirectionally coupled second-order chaotic systems. The stability of synchronization observed in the coupled systems…

混沌动力学 · 物理学 2019-02-25 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

We investigate a system of four nearest neighbour bidirectional coupled phase oscillators of dissimilar initial frequencies in a ring at the changeover into a synchronizing state. There are twenty four permutations upon assigning the…

适应与自组织系统 · 物理学 2023-03-23 Hassan F. El-Nashar , M. S. Mahmoud , M. Medhat

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

混沌动力学 · 物理学 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

斑图形成与孤子 · 物理学 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

A geometric approach is introduced for understanding the phenomenon of phase synchronization in coupled nonlinear systems in the presence of additive noise. We show that the emergence of cooperative behaviour through a change of stability…

适应与自组织系统 · 物理学 2009-11-11 J. Balakrishnan

We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of…

统计力学 · 物理学 2015-06-25 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg