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As a model of temporally evolving networks, we consider a globally coupled logistic map with variable connection weights. The model exhibits self-organization of network structure, reflected by the collective behavior of units. Structural…

无序系统与神经网络 · 物理学 2009-11-07 Junji Ito , Kunihiko Kaneko

We investigate the role of connection density in an adaptive network model of chaotic units that dynamically rewire based on their internal states and local coherence. By systematically varying the network's connectivity density, we uncover…

适应与自组织系统 · 物理学 2025-08-19 Ramiro Plüss , Pablo Martín Gleiser

Formation of a layered structure is studied in a globally coupled map of chaotic units with a plastic coupling strength that changes depending on the states of units globally and an external input. In the parameter region characterized by…

无序系统与神经网络 · 物理学 2007-05-23 J. Ito , K. Kaneko

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

概率论 · 数学 2021-10-27 Michele Aleandri , Ida Germana Minelli

In this study, we performed comprehensive morphological investigations of the spontaneous formations of effective network structures among elements in coupled logistic maps, specifically with a delayed connection change. Our proposed model…

适应与自组织系统 · 物理学 2020-12-02 Amika Ohara , Masashi Fujii , Akinori Awazu

Research of delayed neural networks with variable self-inhibitions, inter-connection weights, and inputs is an important issue. %In the real world, self-inhibitions, %inter-connection weights, and inputs should vary through time. In In this…

动力系统 · 数学 2007-05-23 Wenlian Lu , Tianping Chen

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…

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…

混沌动力学 · 物理学 2013-04-12 Marco Winkler , Sebastian Butsch , Wolfgang Kinzel

We are surrounded by spatio-temporal patterns resulting from the interaction of the numerous basic units constituting natural or human-made systems. In presence of diffusive-like coupling, Turing theory has been largely applied to explain…

斑图形成与孤子 · 物理学 2025-09-15 Marie Dorchain , S. Nirmala Jenifer , Timoteo Carletti

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

Phase transitions constitute fundamental mechanisms underlying abrupt or qualitative changes in the collective dynamics of interacting units across a wide range of natural and engineered systems. In dynamical networks, such transitions lead…

适应与自组织系统 · 物理学 2026-04-07 R. Anand , Jan Fialkowski , V. K. Chandrasekar , R. Suresh

This work concerns a many-body deterministic model that displays life-like properties as emergence, complexity, self-organization, spontaneous compartmentalization, and self-regulation. The model portraits the dynamics of an ensemble of…

适应与自组织系统 · 物理学 2023-07-11 Alessandro Scirè , Valerio Annovazzi-Lodi

We propose a synthetical weights' dynamic mechanism for weighted networks which takes into account the influences of strengths of nodes, weights of links and incoming new vertices. Strength/Weight preferential strategies are used in these…

物理与社会 · 物理学 2007-09-10 Lujun Fang , Zhongzhi Zhang , Shuigeng Zhou , Jihong Guan

The dynamics of local cortical networks are irregular, but correlated. Dynamic excitatory--inhibitory balance is a plausible mechanism that generates such irregular activity, but it remains unclear how balance is achieved and maintained in…

神经元与认知 · 定量生物学 2020-04-28 Alan Eric Akil , Robert Rosenbaum , Krešimir Josić

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for…

物理与社会 · 物理学 2018-04-11 Vanesa Avalos-Gaytán , J. A. Almendral , I. Leyva , F. Battiston , V. Nicosia , V. Latora , S. Boccaletti

In this work, we investigate a model of an adaptive networked dynamical system, where the coupling strengths among phase oscillators coevolve with the phase states. It is shown that in this model the oscillators can spontaneously…

无序系统与神经网络 · 物理学 2010-11-02 Menghui Li , Shuguang Guan , C. -H. Lai

Genetic regulatory networks are usually modeled by systems of coupled differential equations and by finite state models, better known as logical networks, are also used. In this paper we consider a class of models of regulatory networks…

动力系统 · 数学 2015-06-26 Ricardo Lima , Edgardo Ugalde

This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

物理与社会 · 物理学 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and…

We construct and analyze a rate-based neural network model in which self-interacting units represent clusters of neurons with strong local connectivity and random inter-unit connections reflect long-range interactions. When sufficiently…

无序系统与神经网络 · 物理学 2015-06-22 Merav Stern , Haim Sompolinsky , L. F. Abbott
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