CYCLING CHAOS IN ONE-DIMENSIONAL COUPLED ITERATED MAPS

DOI10.1142/S0218127402005492zbMath1044.37024OpenAlexW1982391628MaRDI QIDQ4736268

Antonio Palacios

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127402005492

zbMATH Keywords

symmetrycycling chaosCoupled cell systemssteady-states solutions

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems involving maps of the interval (37E05)

Related Items (6)

An investigation of the convergence to the stationary state in the Hassell mapping ⋮ Mixed Synchronization in the Presence of Cyclic Chaos ⋮ Cycling chaotic attractors in two models for dynamics with invariant subspaces ⋮ Cycling Behavior in Near-Identical Cell Systems ⋮ Modulated rotating waves in the magnetised spherical Couette system ⋮ Coherence properties of cycling chaos

Cites Work

• Unnamed Item
• Heteroclinic cycles and modulated travelling waves in systems with 0(2) symmetry
• Heteroclinic cycles in rings of coupled cells
• Chaos in the cubic mapping
• Structurally stable heteroclinic cycles
• CYCLING CHAOS
• Coupled cells with internal symmetry: I. Wreath products
• Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
• Simple mathematical models with very complicated dynamics

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