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In this work, we report the enhanced stability of induced synchronization observed through transient uncoupling in a class of unidirectionally coupled identical chaotic systems. The phenomenon of transient uncoupling implies the clipping of…

Chaotic Dynamics · Physics 2019-08-28 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

We consider the dynamics of a periodic chain of N coupled overdamped particles under the influence of noise. Each particle is subjected to a bistable local potential, to a linear coupling with its nearest neighbours, and to an independent…

Probability · Mathematics 2007-10-16 Nils Berglund , Bastien Fernandez , Barbara Gentz

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

Disordered Systems and Neural Networks · Physics 2009-10-31 Esteban Moro , Angel Sanchez

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…

Pattern Formation and Solitons · Physics 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Lucia Baroni , Paolo Palmerini

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

Chaotic Dynamics · Physics 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

We investigate the temporal dynamics of the PT-Symmetric nonlinear oscillators in the presence of Duffing nonlinearity for two forms of oscillator configuration. In the former, we consider two oscillator coupled to each other. One…

Adaptation and Self-Organizing Systems · Physics 2023-10-20 Jyoti Prasad Deka

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

We examine the dynamics of semiconductor lasers coupled in a ring configuration. The lasers, which have stable output intensity when isolated, behave chaotically when coupled unidirectionally in a closed chain. In this way, we show that…

Chaotic Dynamics · Physics 2015-06-26 Javier M. Buldu , M. C. Torrent , Jordi Garcia-Ojalvo

Spin chains with open boundaries, such as the transverse field Ising model, can display coherence times for edge spins that diverge with the system size as a consequence of almost conserved operators, the so-called strong zero modes. Here,…

Statistical Mechanics · Physics 2018-10-03 Loredana M. Vasiloiu , Federico Carollo , Juan P. Garrahan

We characterize the synchronization of an array of coupled chaotic elements as a phase transition where order parameters related to the joint probability at two sites obey power laws versus the mutual coupling strength; the phase transition…

Chaotic Dynamics · Physics 2007-05-23 F. T. Arecchi , M. Ciszak

Output feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is…

Optimization and Control · Mathematics 2009-11-13 Alexander L. Fradkov , Boris Andrievsky , Robin J. Evans

The stability analysis of synchronization patterns on generalized network structures is of immense importance nowadays. In this article, we scrutinize the stability of intralayer synchronous state in temporal multilayer hypernetworks, where…

Chaotic Dynamics · Physics 2022-03-16 Md Sayeed Anwar , Sarbendu Rakshit , Dibakar Ghosh , Erik M. Bollt

We show how two electrically coupled semiconductor lasers having optical feedback can present simultaneous anti-phase correlated fast power fluctuations, and strong in-phase synchronized spikes of chaotic power drops. This quite counter…

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 point out the existence of a transition from partial to global generalized synchronization (GS) in symmetrically coupled structurally different time-delay systems of different orders using the auxiliary system approach and the mutual…

Chaotic Dynamics · Physics 2016-11-07 R. Suresh , D. V. Senthilkumar , M. Lakshmanan , J. Kurths

We analyze zero-lag and cluster synchrony of delay-coupled non-smooth dynamical systems by extending the master stability approach, and apply this to networks of adaptive threshold-model neurons. For a homogeneous population of excitatory…

Adaptation and Self-Organizing Systems · Physics 2013-11-06 Josef Ladenbauer , Judith Lehnert , Hadi Rankoohi , Thomas Dahms , Eckehard Schöll , Klaus Obermayer

We develop a formalism to analyze the behaviour of pulse--coupled identical phase oscillators with a specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. K. Mohanty , Antonio Politi

Synchronization transitions are investigated in coupled chaotic maps. Depending on the relative weight of linear versus nonlinear instability mechanisms associated to the single map two different scenarios for the transition may occur. When…

Chaotic Dynamics · Physics 2009-11-11 Massimo Cencini , Alessandro Torcini

We study a model for two lasers that are mutually coupled opto-electronically by modulating the pump of one laser with the intensity deviations from the steady-state output of the other. Such a model is analogous to the equations describing…

Chaotic Dynamics · Physics 2024-10-30 E. M. Shahverdiev , P. A. Bayramov , K. A. Shore