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The present study deals with a theoretical analysis of the effect of delay time of energy transport upon the generation of complex dynamics in continuous physical system. The importance of this time for the presence of quasi - periodicity…

Chaotic Dynamics · Physics 2026-02-10 Marek Berezowski

Synchronization commonly occurs in many natural and man-made systems, from neurons in the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of synchrony for coupled oscillators depend on several…

Adaptation and Self-Organizing Systems · Physics 2018-05-10 Hui Wu , Mukesh Dhamala

Squeezed states and macroscopic superpositions of coherent states have been predicted to be generated dynamically in Bose Josephson junctions. We solve exactly the quantum dynamics of such a junction in the presence of a classical noise…

Quantum Physics · Physics 2013-05-29 G. Ferrini , D. Spehner , A. Minguzzi , F. W. J. Hekking

We present the first report on inverse chaos synchronization between bi-directionally non-linearly and linearly coupled variable multiple time delay Ikeda systems. The results are of certain importance in secure chaos-based communication…

Chaotic Dynamics · Physics 2010-06-29 Elman Shahverdiev

We present the interplay between synchronization of unidirectional coupled chaotic nodes with heterogeneous delays and the greatest common divisor (GCD) of loops composing the oriented graph. In the weak chaos region and for GCD=1 the…

Chaotic Dynamics · Physics 2011-03-29 I. Kanter , M. Zigzag , A. Englert , F. Geissler , W. Kinzel

We experimentally study the synchronization of chaos generated by semiconductor lasers in a cascade injection configuration, i.e., a tunable master laser is used to generate chaos by optical injection in a transmitter laser that injects…

Optics · Physics 2024-05-08 Jules Mercadier , Yaya Doumbia , Stefan Bittner , Marc Sciamanna

We consider synchronization of coupled dynamical systems when different types of interactions are simultaneously present. We assume that a set of dynamical systems are coupled through the connections of two or more distinct networks (each…

Chaotic Dynamics · Physics 2015-05-28 Francesco Sorrentino

The chaotic synchronization between two bi-directionally coupled external cavity single-mode semiconductor lasers is investigated. Numerical simulation shows that anticipating synchronization and lag synchronization coexist in certain…

Chaotic Dynamics · Physics 2009-11-07 Liang Wu , Shiqun Zhu

This paper addresses the problem of finite-time synchronization of tunnel diode based chaotic oscillators. After a brief investigation of its chaotic dynamics, we propose an active adaptive feedback coupling which accomplishes the…

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

In this letter we consider a prototype model which is described as an autonomous continuous time delayed differential equation with just one variable. The chaos has been investigated with variable delay time and the synchronization…

Chaotic Dynamics · Physics 2008-02-07 Dibakar Ghosh , Santo Banerjee , A. Roy Chowdhury

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

We investigate the effects of heterogeneous delays in the coupling of two excitable neural systems. Depending upon the coupling strengths and the time delays in the mutual and self-coupling, the compound system exhibits different types of…

Adaptation and Self-Organizing Systems · Physics 2015-06-05 Anastasiia Panchuk , David P. Rosin , Philipp Hövel , Eckehard Schöll

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

Networks of chaotic units with static couplings can synchronize to a common chaotic trajectory. The effect of dynamic adaptive couplings on the cooperative behavior of chaotic networks is investigated. The couplings adjust to the activities…

Chaotic Dynamics · Physics 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

High quality factors, strong nonlinearities, and extensive design flexibility make superconducting circuits an ideal platform to investigate synchronization phenomena deep in the quantum regime. Recently~\cite{Loerch-2017}, it was predicted…

Quantum Physics · Physics 2018-01-11 Simon E. Nigg

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the…

Chaotic Dynamics · Physics 2010-11-25 Rodrigo Frehse Pereira , Sandro Ely de Souza Pinto , Sergio Roberto Lopes