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相关论文: Synchronization of Coupled Chaotic Dynamics on Net…

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We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

无序系统与神经网络 · 物理学 2015-06-04 Kristina Lerman , Rumi Ghosh

Experimental results often do not assess network structure; rather, the network structure is inferred by the dynamics of the nodes. From the dynamics of the nodes one then constructs a network of functional relations, termed the functional…

适应与自组织系统 · 物理学 2017-11-22 Jake Stroud , Mauricio Barahona , Tiago Pereira

Pattern formation and evolution in unsynchronizable complex networks are investigated. Due to the asymmetric topology, the synchronous patterns formed in complex networks are irregular and nonstationary. For coupling strength immediately…

混沌动力学 · 物理学 2007-05-23 Xingang Wang , Meng Zhan , Ghuguang Guan , Choy Heng Lai

We introduce and study systems of randomly coupled maps (RCM) where the relevant parameter is the degree of connectivity in the system. Global (almost-) synchronized states are found (equivalent to the synchronization observed in globally…

凝聚态物理 · 物理学 2009-10-31 Susanna C. Manrubia , Alexander S. Mikhailov

Dynamical networks are important models for the behaviour of complex systems, modelling physical, biological and societal systems, including the brain, food webs, epidemic disease in populations, power grids and many other. Such dynamical…

混沌动力学 · 物理学 2017-03-27 Deniz Eroglu , Jeroen Lamb , Tiago Pereira

We describe a simple adaptive network of coupled chaotic maps. The network reaches a stationary state (frozen topology) for all values of the coupling parameter, although the dynamics of the maps at the nodes of the network can be…

适应与自组织系统 · 物理学 2015-06-19 V. Botella-Soler , P. Glendinning

A network of coupled time-varying systems, where individual nodes are interconnected through links, is a modeling framework widely used by many disciplines. For identical nodes displaying a complex behavior known as chaos, clusters of nodes…

混沌动力学 · 物理学 2025-04-11 G. Tirabassi , R. de Palma Aristides , C. Masoller , D. J. Gauthier

The presence of synchronized clusters in neuron networks is a hallmark of information transmission and processing. The methods commonly used to study cluster synchronization in networks of coupled oscillators ground on simplifying…

动力系统 · 数学 2020-07-09 Matteo Lodi , Fabio Della Rossa , Francesco Sorrentino , Marco Storace

We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and can carry both positive and negative weights. We show that,…

混沌动力学 · 物理学 2010-02-09 Frank Bauer , Fatihcan M. Atay , Juergen Jost

A network of chaotic systems can be designed in such a way that the cluster patterns formed by synchronous nodes can be controlled through the coupling parameters. We present a novel approach to exploit such a network for covert…

信息论 · 计算机科学 2023-12-11 Zekeriya Sarı , Serkan Günel

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of synchronized sets. It has been shown that diverse patterns of stable cluster synchronization can be captured by symmetries of the network. Here we…

斑图形成与孤子 · 物理学 2017-08-30 Young Sul Cho , Takashi Nishikawa , Adilson E. Motter

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

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

适应与自组织系统 · 物理学 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

Cluster synchronization in networks of coupled oscillators is the subject of broad interest from the scientific community, with applications ranging from neural to social and animal networks and technological systems. Most of these networks…

动力系统 · 数学 2021-07-02 Matteo Lodi , Francesco Sorrentino , Marco Storace

Synchronization has been the subject of intense research during decades mainly focused on determining the structural and dynamical conditions driving a set of interacting units to a coherent state globally stable. However, little attention…

适应与自组织系统 · 物理学 2021-07-07 Christophe Letellier , Irene Sendiña-Nadal , Ludovico Minati , I. Leyva

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

统计力学 · 物理学 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

The study of synchronization of coupled systems is currently undergoing a major surge fueled by recent discoveries of new forms of collective dynamics and the development of techniques to characterize a myriad of new patterns of network…

无序系统与神经网络 · 物理学 2016-10-05 Daniel M. Abrams , Louis M. Pecora , Adilson E. Motter

We demonstrate the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with prevalent repulsive interactions.…

适应与自组织系统 · 物理学 2022-01-26 Igor Franović , Sebastian Eydam , Nadezhda Semenova , Anna Zakharova

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