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A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

生物物理 · 物理学 2009-11-13 Murray Shanahan

The onset of synchronization in networks of networks is investigated. Specifically, we consider networks of interacting phase oscillators in which the set of oscillators is composed of several distinct populations. The oscillators in a…

动力系统 · 数学 2009-11-13 Ernest Barreto , Brian Hunt , Edward Ott , Paul So

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

物理与社会 · 物理学 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

Transport processes on spatial networks are representative of a broad class of real world systems which, rather than being independent, are typically interdependent. We propose a measure of utility to capture key features that arise when…

无序系统与神经网络 · 物理学 2012-10-01 Richard G. Morris , Marc Barthelemy

We present a method based on symbolic dynamics for the detection of synchronization in networks of coupled maps and distinguishing between chaotic and random iterations. The symbolic dynamics are defined using special partitions of the…

混沌动力学 · 物理学 2007-05-23 Sarika Jalan , Fatihcan M. Atay , Jürgen Jost

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

物理与社会 · 物理学 2012-03-29 Andrea Lancichinetti , Santo Fortunato

We study transient sequential dynamics of evolving dynamical networks, i.e., those having active nodes and links and activity-dependent topology. We show that such networks can generate sequences of metastable cluster states where each…

混沌动力学 · 物理学 2014-12-01 Oleg V. Maslennikov , Vladimir I. Nekorkin

We analyze the synchronization dynamics of phase oscillators far from the synchronization manifold, including the onset of synchronization on scale-free networks with low and high clustering coefficients. We use normal coordinates and…

无序系统与神经网络 · 物理学 2015-06-25 Patrick McGraw , Michael Menzinger

We investigate complex synchronization patterns such as cluster synchronization and partial amplitude death in networks of coupled Stuart-Landau oscillators with fractal connectivities. The study of fractal or self-similar topology is…

适应与自组织系统 · 物理学 2017-02-08 Sanjukta Krishnagopal , Judith Lehnert , Winnie Poel , Anna Zakharova , Eckehard Schöll

In this paper, we investigate the factors that affect the synchronization of coupled oscillators on networks. By using the edge-intercrossing method, we keep the degree distribution unchanged to see other statistical properties' effects on…

无序系统与神经网络 · 物理学 2007-05-23 Bing Wang , Huanwen Tang , Tao Zhou , Zhilong Xiu

We investigate collective synchronization in a system of coupled oscillators on small-world networks. The order parameters which measure synchronization of phases and frequencies are introduced and analyzed by means of dynamic simulations…

无序系统与神经网络 · 物理学 2009-11-07 H. Hong , M. Y. Choi , Beom Jun Kim

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

社会与信息网络 · 计算机科学 2024-09-16 Rakib Hassan Pran

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 show that a complex network of phase oscillators may display interfaces between domains (clusters) of synchronized oscillations. The emergence and dynamics of these interfaces are studied in the general framework of interacting phase…

统计力学 · 物理学 2010-12-07 D. Li , I. Leyva , J. A. Almendral , I. Sendina-Nadal , J. M. Buldu , S. Havlin , S. Boccaletti

We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed…

混沌动力学 · 物理学 2009-09-15 Frank Bauer , Fatihcan M. Atay , Juergen Jost

In this research report, we examine the effects of small-world network organization on spike synchronization dynamics in networks of Izhikevich spiking units. We interpolate network organizations from regular ring lattices, through the…

神经与进化计算 · 计算机科学 2013-09-24 Derek Harter

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…

适应与自组织系统 · 物理学 2013-11-06 Josef Ladenbauer , Judith Lehnert , Hadi Rankoohi , Thomas Dahms , Eckehard Schöll , Klaus Obermayer

The affect of demographic stochasticity of a system of globally coupled chaotic maps is considered. A two-step model is studied, where the intra-patch chaotic dynamics is followed by a migration step that coupled all patches; the…

混沌动力学 · 物理学 2015-05-13 David A. Kessler , Nadav M. Shnerb

Coordinating multi-agent systems requires balancing synchronization performance and controller implementation costs. To this end, we classify agents by their intrinsic properties, enabling each group to be controlled by a uniform controller…

系统与控制 · 电气工程与系统科学 2025-07-21 Honghao Wu , Kemi Ding , Li Qiu