Synchronization versus stability of the invariant distribution for a class of globally coupled maps

DOI10.1088/1361-6544/aac5b0zbMath1393.37053arXiv1711.05461OpenAlexW3103459730MaRDI QIDQ3176645

Péter Bálint, Gerhard Keller, Imre Péter Tóth, Fanni M. Sélley

Publication date: 23 July 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05461

zbMATH Keywords

synchronizationmean field modelunique invariant densitycoupled map system

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

Linear response for a family of self-consistent transfer operators, Synchronization for networks of globally coupled maps in the thermodynamic limit, Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties, Mean-field coupled systems and self-consistent transfer operators: a review, Globally coupled Anosov diffeomorphisms: statistical properties, A self-consistent dynamical system with multiple absolutely continuous invariant measures, Computer-assisted proof of loss of ergodicity by symmetry breaking in expanding coupled maps

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