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Here we provide a detailed analysis, along with some extensions and additonal investigations, of a recently proposed self-organised model for the evolution of complex networks. Vertices of the network are characterised by a fitness variable…

物理与社会 · 物理学 2008-08-29 Guido Caldarelli , Andrea Capocci , Diego Garlaschelli

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

统计力学 · 物理学 2009-10-31 Frantisek Slanina , Miroslav Kotrla

The spin market model [S. Bornholdt, Int.J.Mod.Phys. C 12 (2001) 667] is extended into co-evolutionary version, where strategies of interacting and competitive traders are represented by local and global couplings between the nodes of…

适应与自组织系统 · 物理学 2009-11-11 D. Horvath , Z. Kuscsik , M. Gmitra

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

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 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

It has been proposed that adaptation in complex systems is optimized at the critical boundary between ordered and disordered dynamical regimes. Here, we review models of evolving dynamical networks that lead to self-organization of network…

适应与自组织系统 · 物理学 2008-11-07 Thimo Rohlf , Stefan Bornholdt

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

An important feature of many complex systems, both natural and artificial, is the structure and organization of their interaction networks with interesting properties. Here we present a theory of self-organization by evolutionary adaptation…

适应与自组织系统 · 物理学 2007-05-23 Venkat Venkatasubramanian , Santhoji Katare , Priyan R. Patkar , Fangping Mu

Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

无序系统与神经网络 · 物理学 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time…

物理与社会 · 物理学 2016-08-16 Alessandro Scirè , Idán Tuval , Víctor M. Eguíluz

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Torsten Roehl

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

无序系统与神经网络 · 物理学 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting…

无序系统与神经网络 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

统计力学 · 物理学 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

We study the dynamics of the Bak-Sneppen model on small-world networks. For each site in the network, we define a ``connectance,'' which measures the distance to all other sites. We find radically different patterns of activity for…

凝聚态物理 · 物理学 2009-09-25 R. V. Kulkarni , E. Almaas , D. Stroud

The co-evolution of network topology and dynamics is studied in an evolutionary Boolean network model that is a simple model of gene regulatory network. We find that a critical state emerges spontaneously resulting from interplay between…

统计力学 · 物理学 2007-05-23 Min Liu , Kevin E. Bassler

In this paper we investigate networks whose evolution is governed by the interaction of a random assembly process and an optimization process. In the first process, new nodes are added one at a time and form connections to randomly selected…

无序系统与神经网络 · 物理学 2011-05-16 Markus Brede

We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve according to a temporal learning rule that is based on the…

混沌动力学 · 物理学 2009-11-13 Juergen Jost , Kiran M. Kolwankar

The Bak--Sneppen model is a simple stochastic model of evolution that exhibits self-organized criticality and for which few analytical results have been established. In the original Bak-Sneppen model and many subsequent variants,…

适应与自组织系统 · 物理学 2011-10-20 Michael Grinfeld , Philip A. Knight , Andrew R. Wade
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