Extremal dynamics model on evolving networks

Abstract

We investigate an extremal dynamics model of evolution with a variable number of units. Due to addition and removal of the units, the topology of the network evolves and the network splits into several clusters. The activity is mostly concentrated in the largest cluster. The time dependence of the number of units exhibits intermittent structure. The self-organized criticality is manifested by a power-law distribution of forward avalanches, but two regimes with distinct exponents tau = 1.98 +- 0.04 and tau^prime = 1.65 +- 0.05 are found. The distribution of extinction sizes obeys a power law with exponent 2.32 +- 0.05.

4 pages, 5 figures

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Cited by in corpus (10)

• Statistical mechanics of complex networks
• Evolution of networks
• Exact results for the Barabasi model of human dynamics
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• Multifractal properties of growing networks
• Random networks created by biological evolution
• Coevolutionary dynamics on scale-free networks
• The interplay between chemical reactions and transport in structured spaces
• Conservation of population size is required for self-organized criticality in evolution models
• Dynamic scaling and universality in evolution of fluctuating random networks