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Symbolic dynamics, synchronization and homoclinic bifurcations in a class of globally coupled maps

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Publication:5950642
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DOI10.1016/S0960-0779(00)00241-1zbMath0993.37007OpenAlexW2069962056MaRDI QIDQ5950642

Wen-Xin Qin

Publication date: 2 January 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(00)00241-1

zbMATH Keywords

symbolic dynamicscoupling strengthhomoclinic bifurcationsglobal synchronizationglobally coupled systemspiecewise affine local map


Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Symbolic dynamics (37B10) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)




Cites Work

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  • Is there chaotic synchronization in space extended systems?
  • Transitivity and blowout bifurcations in a class of globally coupled maps
  • Homoclinic bifurcations for the Hénon map
  • A simple way to compute the existence region of 1D chaotic attractors in 2D-maps
  • Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
  • Symmetry breaking bifurcation for coupled chaotic attractors
  • Synchronized family dynamics in globally coupled maps
  • On the global orbits in a bistable CML
  • SYNCHRONIZATION IN GLOBALLY COUPLED MAPS
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