Chaotic maps with nonlocal coupling: Lyapunov exponents, synchronization of chaos, and characterization of chimeras

Carlos A.S. Batista and Ricardo L. Viana

Chaos, Solitons & Fractals, 2020, vol. 131, issue C

Abstract: Coupled map lattices are spatially extended systems in which both space and time are discrete but allowing a continuous state variable. They have been intensively studied since they present a rich spatiotemporal dynamics, including intermittency, chimeras, and turbulence. Nonlocally coupled lattices occur in many problems of physical and biological interest, like the interaction among cells mediated by the diffusion of some chemical. In this work we investigate general features of the nonlocal coupling among maps in a regular lattice, focusing on the Lyapunov spectrum of coupled chaotic maps. This knowledge is useful for determining the stability of completely synchronized states. One of the types of nonlocal coupling investigated in this work is a smoothed finite range coupling, for which chimeras are exhibited and characterized using quantitative measures.

Keywords: Coupled map lattices; Nonlocal coupling; Chimeras; Lyapunov spectrum; Chaos synchronization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304539

DOI: 10.1016/j.chaos.2019.109501

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