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The dynamics of one-way coupled systems with discrete time is considered. The behavior of the coupled logistic maps is compared to the dynamics of maps obtained using the Poincare sectioning procedure applied to the coupled continuous-time…

Chaotic Dynamics · Physics 2009-11-11 A. A. Koronovskii , A. E. Hramov , A. E. Khramova

We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimodal continuous distributions are studied with a focus on…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 Caglar Cakan , Judith Lehnert , Eckehard Schöll

We present in this paper, the synchronization dynamics observed in a network of mutually coupled simple chaotic systems. The network consisting of chaotic systems arranged in a square matrix network is studied for their different types of…

Chaotic Dynamics · Physics 2019-09-26 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In terms of multiplicative ergodic properties of the induced linear…

Dynamical Systems · Mathematics 2020-09-09 Wen Huang , Hong Qian , Shirou Wang , Felix X. -F. Ye , Yingfei Yi

It is shown that the synchronization behavior of a system of chaotic maps subject to either an external forcing or a coupling function of their internal variables can be inferred from the behavior of a single element in the system, which…

Chaotic Dynamics · Physics 2015-05-19 M. G. Cosenza , O. Alvarez-Llamoza , G. Paredes

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

We investigate the impact of bistability in the emergence of synchronization in networks of chaotic maps with delayed coupling. The existence of a single finite attractor of the uncoupled map is found to be responsible for the emergence of…

Disordered Systems and Neural Networks · Physics 2013-01-01 Pedro G. Lind , Ana Nunes , Jason A. C. Gallas

This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the coupling links. By exploiting relative dissipativity properties…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Yongkang Su , Joaquin Carrasco , Iñaki Esnaola , Lanlan Su

Synchronization phenomena on networks have attracted much attention in studies of neural, social, economic, and biological systems, yet we still lack a systematic understanding of how relative synchronizability relates to underlying network…

Social and Information Networks · Computer Science 2023-09-08 Joseph T. Lizier , Frank Bauer , Fatihcan M. Atay , Jürgen Jost

A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phase…

Chaotic Dynamics · Physics 2018-11-26 Marco Faggian , Francesco Ginelli , Fernando Rosas , Zoran Levnajić

We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time only one aggregate signal from the set of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Francesco Sorrentino , Edward Ott

Phase, time, and frequency coordination are crucial for the coherent operation of distributed antenna arrays. This paper demonstrates a high accuracy decentralized time synchronization method for arrays with dynamic connectivity. To…

Signal Processing · Electrical Eng. & Systems 2024-10-24 Naim Shandi , Jason M. Merlo , Jeffrey A. Nanzer

We investigate the spatiotemporal dynamics of a lattice of coupled chaotic maps whose coupling connections are dynamically rewired to random sites with probability p, namely at any instance of time, with probability p a regular link is…

Chaotic Dynamics · Physics 2009-11-13 Swarup Poria , Manish Dev Shrimali , Sudeshna Sinha

We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for…

We study synchronization of random one-dimensional linear maps for which the Lyapunov exponent can be calculated exactly. Certain aspects of the dynamics of these maps are explained using their relation with a random walk. We confirm that…

Chaotic Dynamics · Physics 2009-11-10 Adam Lipowski , Ioana Bena , Michel Droz , Antonio L. Ferreira

In this note, we study the prescribed-time (PT) synchronization of multiweighted and directed complex networks (MWDCNs) via pinning control. Unlike finite-time and fixed-time synchronization, the time for synchronization can be preset as…

Multiagent Systems · Computer Science 2022-06-29 Linlong Xu , Xiwei Liu

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

This paper considers the problem of adaptively searching for an unknown target using multiple agents connected through a time-varying network topology. Agents are equipped with sensors capable of fast information processing, and we propose…

Multiagent Systems · Computer Science 2016-11-17 Theodoros Tsiligkaridis

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

Dynamical Systems · Mathematics 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

This paper studies coordination problem for time-varying networks suffering from antagonistic information, quantified by scaling parameters. By such a manner, interacting property of the participating individuals and antagonistic…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Wentao Zhang
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