On mean field fluctuations in globally coupled logistic-type maps

DOI10.1016/S0167-2789(97)00026-2zbMath0933.37038OpenAlexW2053137234WikidataQ127155992 ScholiaQ127155992MaRDI QIDQ1963290

Sergey V. Ershov, Alexey B. Potapov

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00026-2

zbMATH Keywords

thermodynamic limitglobally coupled map

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (7)

Remarks on the mean field dynamics of networks of chaotic elements ⋮ Mean-field coupled systems and self-consistent transfer operators: a review ⋮ Quasistable states in globally coupled tent map systems ⋮ Linear response for macroscopic observables in high-dimensional systems ⋮ Feigenbaum networks ⋮ 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

Cites Work

• Unnamed Item
• Mean field fluctuation of a network of chaotic elements. Remaining fluctuation and correlation in the large size limit
• Remarks on the mean field dynamics of networks of chaotic elements
• Even the first iterate of a Markov operator is contracting in an \(L_ 2\) norm
• On mean field fluctuations in globally coupled maps
• Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
• Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators.
• Spatiotemporal Intermittency in Coupled Map Lattices
• Transfer operators for coupled map lattices
• Asymptotic Periodicity of the Iterates of Markov Operators
• Kinetics of coupled map lattices
• Ergodic theory of chaos and strange attractors
• Spacetime chaos in coupled map lattices

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