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This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

混沌动力学 · 物理学 2015-06-23 P. Cudmore , C. A. Holmes

We report mixed lag synchronization in coupled counter-rotating oscillators. The trajectories of counter-rotating oscillators has opposite directions of rotation in uncoupled state. Under diffusive coupling via a scalar variable, a mixed…

混沌动力学 · 物理学 2013-10-08 Sourav K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

We report a design of delay coupling for lag synchronization in two unidirectionally coupled chaotic oscillators. A delay term is introduced in the definition of the coupling to target any desired lag between the driver and the response.…

混沌动力学 · 物理学 2012-06-29 Sourav K. Bhowmick , Pinaki Pal , Prodyot K. Roy , Syamal K. Dana

Swarmalators are oscillatory systems endowed with a spatial component, whose spatial and phase dynamics affect each other. Such systems can demonstrate fascinating collective dynamics resembling many real-world processes. Through this work,…

适应与自组织系统 · 物理学 2023-09-11 Samali Ghosh , Gourab Kumar Sar , Soumen Majhi , Dibakar Ghosh

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

统计力学 · 物理学 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

统计力学 · 物理学 2015-06-16 Wen Yu , Kevin B. Wood

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

混沌动力学 · 物理学 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

动力系统 · 数学 2025-05-28 Navojit Dhali Pallab

We consider a model where a population of diffusively coupled limit-cycle oscillators, described by the complex Ginzburg-Landau equation, interacts nonlocally via an inertial field. For sufficiently high intensity of nonlocal inertial…

斑图形成与孤子 · 物理学 2007-05-23 Vanessa Casagrande , Alexander S. Mikhailov

We study the effect of structured higher-order interactions on the collective behavior of coupled phase oscillators. By combining a hypergraph generative model with dimensionality reduction techniques, we obtain a reduced system of…

适应与自组织系统 · 物理学 2023-03-14 Sabina Adhikari , Juan G. Restrepo , Per Sebastian Skardal

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

统计力学 · 物理学 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

The onset of collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied for phase dynamical models with arbitrary coupling; the effect of a stochastic temporal variation in the…

patt-sol · 物理学 2008-02-03 John David Crawford , K. T. R. Davies

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

Group synchronization arises when two or more synchronization patterns coexist in a network formed of oscillators of different types, with the systems in each group synchronizing on the same time-evolution, but systems in different groups…

混沌动力学 · 物理学 2021-12-21 Shirin Panahi , Francesco Sorrentino

Cluster synchronization is a fundamental phenomenon in systems of coupled oscillators. Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay-coupled electrochemical oscillators. A voltage parameter in…

动力系统 · 数学 2023-06-28 Andrew Keane , Alannah Neff , Karen Blaha , Andreas Amann , Philipp Hövel

In this paper, we report a novel approach for studying the effect of optimal uncoupling on the stability of synchronization in coupled chaotic systems. The clipping of phase space of the driven system having an orientation along the…

混沌动力学 · 物理学 2020-12-01 G. Sivaganesh , B. D. Sharmila , A. Arulgnanam

In the model system of two instantaneously and symmetrically coupled identical Stuart-Landau oscillators we demonstrate that there exist stable solutions with symmetry-broken amplitude- and phase-locking. These states are characterized by a…

混沌动力学 · 物理学 2021-08-09 André Röhm , Kathy Lüdge , Isabelle Schneider

We experimentally demonstrate the occurrence of various synchronized states in coupled piece-wise linear time-delayed electronic circuits using dynamic environment coupling where the environment has its own intrinsic dynamics via feedback…

混沌动力学 · 物理学 2015-06-15 R. Suresh , K. Srinivasan , D. V. Senthilkumar , K. Murali , M. Lakshmanan , J. Kurths

We investigate the stability of the synchronization manifold in a ring and an open-ended chain of nearest neighbors coupled self-sustained systems, each self-sustained system consisting of multi-limit cycles van der Pol oscillators. Such…

混沌动力学 · 物理学 2010-01-24 R. Yamapi , H. G. Enjieu Kadji , G. Filatrella

We consider a line of three mutually coupled lasers with time delays and study chaotic synchronization of the outer lasers. Two different systems are presented: optoelectronically coupled semiconductor lasers and optically coupled fiber…

混沌动力学 · 物理学 2007-11-07 Alexandra S. Landsman , Leah B. Shaw , Ira B. Schwartz