Transitivity and blowout bifurcations in a class of globally coupled maps

DOI10.1016/S0375-9601(99)00792-6zbMath0949.37019MaRDI QIDQ1569466

Paul Glendinning

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentSinai-Ruelle-Bowen measureMilnor attractorglobally coupled one-dimensional maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (6)

Blowout bifurcation and chaos-hyperchaos transition in five-dimensional continuous autonomous systems ⋮ Emergence of chaotic attractor and anti-synchronization for two coupled monostable neurons ⋮ Clustering zones in the turbulent phase of a system of globally coupled chaotic maps ⋮ Role of asymmetric clusters in desynchronization of coherent motion ⋮ Symbolic dynamics, synchronization and homoclinic bifurcations in a class of globally coupled maps ⋮ Cluster-splitting bifurcation in a system of coupled maps

Cites Work

• Unnamed Item
• Unnamed Item
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• The transition to chaotic attractors with riddled basins
• On the unfolding of a blowout bifurcation
• Synchronization, intermittency and critical curves in a duopoly game
• The stability boundary of synchronized states in globally coupled dynamical systems
• Milnor attractors and topological attractors of a piecewise linear map
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Symmetry breaking bifurcation for coupled chaotic attractors
• RIDDLED BASINS
• From attractor to chaotic saddle: a tale of transverse instability

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