Collective behavior in ensembles of globally coupled maps

DOI10.1016/0167-2789(94)90048-5zbMath0813.34045OpenAlexW2023335978MaRDI QIDQ1344793

Arkadij S. Pikovskij, Juergen Kurths

Publication date: 16 February 1995

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

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90048-5

zbMATH Keywords

coherent collective behaviorensemble of globally coupled mapsnonlinear Frobenius-Perron equationquasiperiodic and chaotic solutions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items

Stability analysis of fixed point of fractional-order coupled map lattices, On the bifurcation structure of the mean-field fluctuation in the globally coupled tent map systems, Effects of time delay on the synchronized states of globally coupled network, Predictability: a way to characterize complexity, Macroscopic chaos in globally coupled maps, Tongue-like bifurcation structures of the mean-field dynamics in a network of chaotic elements, Large deviations from the thermodynamic limit in globally coupled maps, Collective phase chaos in the dynamics of interacting oscillator ensembles, Cluster-splitting bifurcation in a system of coupled maps, Periodicity manifestations in the non-locally coupled maps

Cites Work

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• Probabilistic Properties of Deterministic Systems
• NONLINEAR TIME SEQUENCE ANALYSIS
• Noisy uncoupled chaotic map ensembles violate the law of large numbers
• Comment on ‘‘Noisy uncoupled chaotic map ensembles violate the law of large numbers’’