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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

The transition to global synchronization in coupled dynamical systems is governed by the interplay between coupling strength and structural topology. Although abrupt, first-order-like synchronization transitions have been extensively…

统计力学 · 物理学 2026-02-16 Gunn Kim

Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems and time-delayed systems. It is characterized by a lag configuration that establishes a unique time shift between all the state variables of the…

混沌动力学 · 物理学 2015-06-16 Sourav K. Bhowmick , Dibakar Ghosh , Prodyot K. Roy , Jürgen Kurths , Syamal K. Dana

Here we investigate the synchronization of networks of FitzHugh-Nagumo neurons coupled in scale-free, small-world and random topologies, in the presence of distributed time delays in the coupling of neurons. We explore how the…

计算物理 · 物理学 2019-12-23 Ajay Deep Kachhvah

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory…

神经元与认知 · 定量生物学 2018-01-01 Hwayeon Ryu , Sue Ann Campbell

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…

混沌动力学 · 物理学 2009-11-13 Swarup Poria , Manish Dev Shrimali , Sudeshna Sinha

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

混沌动力学 · 物理学 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high quality synchronization. The results are important for obtaining…

混沌动力学 · 物理学 2015-09-25 E. M. Shahverdiev , L. H. Hashimova , P. A. Bayramov , R. A. Nuriev

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More…

适应与自组织系统 · 物理学 2020-02-19 Claudio Pereti , Duccio Fanelli

In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

分布式、并行与集群计算 · 计算机科学 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

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…

混沌动力学 · 物理学 2015-05-28 Francesco Sorrentino

We investigate the synchronization phenomenon in coupled chaotic map lattices where the couplings decay with distance following a power-law. Depending on the lattice size, the coupling strength and the range of the interactions, complete…

混沌动力学 · 物理学 2015-06-26 C. Anteneodo , A. M. Batista , R. L. Viana

In the realm of spatiotemporal chaos, unstable periodic orbits play a major role in understanding the dynamics. Their stability changes and bifurcations in general are thus of central interest. Here, coupled map lattice discretizations of…

混沌动力学 · 物理学 2026-03-05 Domenico Lippolis

We study two problems related to spatially extended systems: the dynamical stability and the universality classes of the replica synchronization transition. We use a simple model of one dimensional coupled map lattices and show that chaotic…

统计力学 · 物理学 2008-01-20 Franco Bagnoli , Raul Rechtman

In this work we investigate the spatiotemporal behaviour of lattices of coupled chaotic logistic maps, where the coupling between sites has a nonlinear form. We show that the stable range of the spatiotemporal fixed point state is…

混沌动力学 · 物理学 2013-09-19 Ankit Kumar

We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type…

混沌动力学 · 物理学 2009-11-11 R. E. Amritkar , Sarika Jalan

We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The criteria can also be used to design couplings…

chao-dyn · 物理学 2009-10-30 Reggie Brown , Nikolai F. Rulkov

We study chimera states, which are partial synchronization patterns consisting of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, in ring networks of FitzHugh-Nagumo oscillators with fractal…

适应与自组织系统 · 物理学 2019-03-27 Jakub Sawicki , Iryna Omelchenko , Anna Zakharova , Eckehard Schöll

We explore the behaviour of chaotic oscillators in hierarchical networks coupled to an external chaotic system whose intrinsic dynamics is dissimilar to the other oscillators in the network. Specifically, each oscillator couples to the…

混沌动力学 · 物理学 2019-05-22 Sudhanshu Shekhar Chaurasia , Sudeshna Sinha

In this work we investigate time varying networks with complex dynamics at the nodes. We consider two scenarios of network change in an interval of time: first, we have the case where each link can change with probability pt, i.e. the…

适应与自组织系统 · 物理学 2014-04-14 Ankit Kumar , Vidit Agrawal , Sudeshna Sinha