Transitions to intermittency and collective behavior in randomly coupled map networks

Volchenkov D, Sequeira S, Blanchard P, Cosenza MG (2002)
Stochastics and Dynamics 2(02): 203-223.

Journal Article | Published | English

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Abstract
We study the transition to spatio-temporal intermittency in random network of coupled Chaté–Manneville maps. The relevant parameters are the network connectivity, coupling strength, and the local parameter of the map. We show that spatiotemporal intermittency occurs for some intervals or windows of the values of these parameters. Within the intermittency windows, the system exhibits periodic and other nontrivial collective behaviors. The detailed behavior depends crucially upon the topology of the random graph spanning the network. We present a detailed analysis of the results based on the thermodynamic formalism and random graph theory.
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Volchenkov D, Sequeira S, Blanchard P, Cosenza MG. Transitions to intermittency and collective behavior in randomly coupled map networks. Stochastics and Dynamics. 2002;2(02):203-223.
Volchenkov, D., Sequeira, S., Blanchard, P., & Cosenza, M. G. (2002). Transitions to intermittency and collective behavior in randomly coupled map networks. Stochastics and Dynamics, 2(02), 203-223.
Volchenkov, D., Sequeira, S., Blanchard, P., and Cosenza, M. G. (2002). Transitions to intermittency and collective behavior in randomly coupled map networks. Stochastics and Dynamics 2, 203-223.
Volchenkov, D., et al., 2002. Transitions to intermittency and collective behavior in randomly coupled map networks. Stochastics and Dynamics, 2(02), p 203-223.
D. Volchenkov, et al., “Transitions to intermittency and collective behavior in randomly coupled map networks”, Stochastics and Dynamics, vol. 2, 2002, pp. 203-223.
Volchenkov, D., Sequeira, S., Blanchard, P., Cosenza, M.G.: Transitions to intermittency and collective behavior in randomly coupled map networks. Stochastics and Dynamics. 2, 203-223 (2002).
Volchenkov, Dimitry, Sequeira, S., Blanchard, Philippe, and Cosenza, M.G. “Transitions to intermittency and collective behavior in randomly coupled map networks”. Stochastics and Dynamics 2.02 (2002): 203-223.
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