Macroscopic chaos in globally coupled maps

DOI10.1016/S0167-2789(99)00015-9zbMath0939.37017arXivchao-dyn/9804045MaRDI QIDQ1809129

Massimo Falcioni, Angelo Vulpiani, Davide Vergni, Massimo Cencini

Publication date: 3 April 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9804045

zbMATH Keywords

finite size Lyapunov exponentcoherent evolutionglobally coupled mapsmacroscopic chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems in classical and celestial mechanics (37N05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (7)

Spatially periodic and temporally chaotic pattern in coupled nonidentical chaotic systems ⋮ Predictability: a way to characterize complexity ⋮ Stable chaos in fluctuation driven neural circuits ⋮ Large deviations from the thermodynamic limit in globally coupled maps ⋮ Collective phase chaos in the dynamics of interacting oscillator ensembles ⋮ Effects of microscopic disorder on the collective dynamics of globally coupled maps ⋮ Cluster-splitting bifurcation in a system of coupled maps

Cites Work

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• Determining Lyapunov exponents from a time series
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Mean field fluctuation of a network of chaotic elements. Remaining fluctuation and correlation in the large size limit
• Slow and fast dynamics in coupled systems: a time series analysis view
• Collective behavior in ensembles of globally coupled maps
• Remarks on the mean field dynamics of networks of chaotic elements
• Predictability in the large: an extension of the concept of Lyapunov exponent
• Dispersion of passive tracers in closed basins: Beyond the diffusion coefficient

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