Synchronization in networks with random interactions: theory and applications.

Jianfeng Feng; Viktor K Jirsa; Mingzhou Ding

doi:10.1063/1.2180690

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Synchronization in networks with random interactions: theory and applications.

Jianfeng Feng·Viktor K Jirsa·Mingzhou Ding

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Abstract

Synchronization is an emergent property in networks of interacting dynamical elements. Here we review some recent results on synchronization in randomly coupled networks. Asymptotical behavior of random matrices is summarized and its impact on the synchronization of network dynamics is presented. Robert May's results on the stability of equilibrium points in linear dynamics are first extended to systems with time delayed coupling and then nonlinear systems where the synchronized dynamics can be periodic or chaotic. Finally, applications of our results to neuroscience, in particular, networks of Hodgkin-Huxley neurons, are included.

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Action Potentials Algorithms Animals Biological Clocks Computer Simulation Humans Models, Neurological Models, Statistical Nerve Net Neurons Nonlinear Dynamics Synaptic Transmission Time Factors Journal Article Research Support, N.I.H., Extramural Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

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Jianfeng Feng, Viktor K Jirsa, Mingzhou Ding. 2006. Synchronization in networks with random interactions: theory and applications.. https://doi.org/10.1063/1.2180690

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