Cycling chaotic attractors in two models for dynamics with invariant subspaces

DOI10.1063/1.1769111zbMath1080.37026OpenAlexW2081789712WikidataQ45077535 ScholiaQ45077535MaRDI QIDQ5705421

Rob Sturman, Peter Ashwin, Alastair M. Rucklidge

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10036/20632

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75)

Related Items (3)

Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock ⋮ The effect of symmetry breaking on the dynamics near a structurally stable heteroclinic cycle between equilibria and a periodic orbit ⋮ A mechanism for switching near a heteroclinic network

Cites Work

• Heteroclinic cycles in rings of coupled cells
• Cycling chaos: Its creation, persistence and loss of stability in a model of nonlinear magnetoconvection
• Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory
• Cycling Behavior in Near-Identical Cell Systems
• CYCLING CHAOS
• CYCLING CHAOS IN ONE-DIMENSIONAL COUPLED ITERATED MAPS
• Cycles homoclinic to chaotic sets; robustness and resonance
• Phase resetting effects for robust cycles between chaotic sets
• Pseudo-riddling in chaotic systems

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