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We investigate structural transitions in adaptive networks where node states remain fixed and only the connections evolve via state-dependent rewiring. Using a general framework characterized by probabilistic rules for disconnection and…

物理与社会 · 物理学 2026-01-23 R. Cárdenas-Sabando , M. G. Cosenza , J. C. González-Avella

We study the joint effect of the non-linearity of interactions and noise on coevolutionary dynamics. We choose the coevolving voter model as a prototype framework for this problem. By numerical simulations and analytical approximations we…

物理与社会 · 物理学 2020-09-28 Tomasz Raducha , Maxi San Miguel

We present a general framework for the study of coevolution in dynamical systems. This phenomenon consists of the coexistence of two dynamical processes on networks of interacting elements: node state change and rewiring of links between…

适应与自组织系统 · 物理学 2011-09-06 J. L. Herrera , M. G. Cosenza , K. Tucci , J. C. González-Avella

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

物理与社会 · 物理学 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

We consider a general model in which there is a coupled dynamics of node states and links states in a network. This coupled dynamics coevolves with dynamical changes of the topology of the network caused by a link rewiring mechanism. Such…

物理与社会 · 物理学 2020-12-02 Meghdad Saeedian , Maxi San Miguel , Raul Toral

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

物理与社会 · 物理学 2008-05-23 Balazs Kozma , Alain Barrat

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

物理与社会 · 物理学 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

物理与社会 · 物理学 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

Network structure or connectivity pattern is critical in determining collective dynamics among interacting species in ecosystems. Conventional research on species persistence in spatial populations has focused on static network structure,…

种群与进化 · 定量生物学 2022-08-10 Subhendu Bhandary , Debabrata Biswas , Tanmoy Banerjee , Partha Sharathi Dutta

Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can…

无序系统与神经网络 · 物理学 2009-10-31 Reka Albert , Albert-Laszlo Barabasi

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

物理与社会 · 物理学 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

It is well-known that population structure is a catalyst for the evolution of cooperation since individuals can reciprocate with their neighbors through local interactions defined by network structures. Previous research typically relies on…

物理与社会 · 物理学 2021-12-16 Anzhi Sheng , Aming Li , Long Wang

We analyze the interplay of synchronization and structure evolution in an evolving network of phase oscillators. An initially random network is adaptively rewired according to the dynamical coherence of the oscillators, in order to enhance…

统计力学 · 物理学 2007-09-27 Pablo M. Gleiser , Damián H. Zanette

Inspired by language competition processes, we present a model of coupled evolution of node and link states. In particular, we focus on the interplay between the use of a language and the preference or attitude of the speakers towards it,…

物理与社会 · 物理学 2016-12-05 Adrián Carro , Raúl Toral , Maxi San Miguel

The structure of a network can significantly influence the properties of the dynamical processes which take place on them. While many studies have been devoted to this influence, much less attention has been devoted to the interplay and…

物理与社会 · 物理学 2008-01-10 Balazs Kozma , Alain Barrat

We study the evolution of the network properties of a populated network embedded in a genotype space characterised by either a low or a high number of potential links, with particular emphasis on the connectivity and clustering. Evolution…

统计力学 · 物理学 2007-05-23 Paul Anderson , Henrik Jeldtoft Jensen

We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same…

适应与自组织系统 · 物理学 2015-05-28 V. Botella-Soler , P. Glendinning

We consider the influence of local noise on a generalized network of populations having positive and negative feedbacks. The population dynamics at the nodes is nonlinear, typically chaotic, and allows cessation of activity if the…

混沌动力学 · 物理学 2014-12-03 Anshul Choudhary , Vivek Kohar , Sudeshna sinha

We survey the coevolutionary dynamics of network topology and group interactions in opinion formation, grounded on a coevolving nonlinear voter model. The coevolving nonlinear voter model incorporates two mechanisms: group interactions…

物理与社会 · 物理学 2023-11-13 Byungjoon Min

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

无序系统与神经网络 · 物理学 2009-10-31 Stefan Bornholdt , Thimo Rohlf
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