Abstract
We study the appearance of a chaotic partial synchronization in a system of globally coupled maps. We analyze the structure of cluster zones for small values of the coupling parameter ε and conditions for the formation of chaotic attractors on cluster manifolds. We find a formula that describes the relationship between the transversal and longitudinal Lyapunov numbers for trajectories on the manifold and necessary conditions for the transversal stability of these trajectories.
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Translated from Neliniini Kolyvannya, Vol. 7, No. 2, pp. 229–240, April–June, 2004.
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Panchuk, A.A. Partial synchronization in a system of globally coupled maps. Nonlinear Oscill 7, 228–239 (2004). https://doi.org/10.1007/s11072-005-0008-8
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DOI: https://doi.org/10.1007/s11072-005-0008-8