vix.ing · top · new · best · stats · spec

Competitive cluster growth on networks: complex dynamics and survival\n strategies

2009/12/16 by N. Nirmal Thyagu, Thyagu, N. Nirmal, Anita Mehta +1
Decision Sciences · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Game Theory and Applications #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.0912.3139

openalex publication_date 2009/12/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We extend the study of a model of competitive cluster growth in an active\nmedium to a basis of networks; this is done by adding nonlocal connections with\nprobability p to sites on a regular lattice, thus enabling one to interpolate\nbetween regularity and full randomness. The model on networks demonstrates high\nsensitivity to small changes in initial configurations, which we characterize\nusing damage spreading. The main focus of this paper is, however, the devising\nof survival strategies through selective networking, to alter the the fate of\nan arbitrarily chosen cluster: whether this be to revive a dying cluster to\nlife, or to make a weak survivor into a stronger one. Although such goals are\ntypically achieved by networking with relatively small clusters, our results\nsuggest that it ought to be possible also to network with peers and larger\nclusters. The main indication of this comes from the probability distributions\nof mass differences between survivors and their immediate neighbours, which\nshow an astonishing universality; they suggest strategies for winning against\nthe odds.\n

Related