The topology of nested homoclinic and heteroclinic tangles

DOI10.1016/J.PHYSD.2009.01.004zbMath1160.37329OpenAlexW2019953706MaRDI QIDQ1016253

Kevin A. Mitchell

Publication date: 5 May 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.01.004

zbMATH Keywords

symbolic dynamicschaotic transporthomoclinic and heteroclinic tanglesmixed phase space

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (13)

HIGH-ORDER BISECTION METHOD FOR COMPUTING INVARIANT MANIFOLDS OF TWO-DIMENSIONAL MAPS ⋮ Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows ⋮ Using periodic orbits to compute chaotic transport rates between resonance zones ⋮ Partitioning two-dimensional mixed phase spaces ⋮ A development scenario connecting the ternary symmetric horseshoe with the binary horseshoe ⋮ Using heteroclinic orbits to quantify topological entropy in fluid flows ⋮ Thirty years of turnstiles and transport ⋮ Escaping from a degenerate version of the four hill potential ⋮ The chaotic set and the cross section for chaotic scattering in three degrees of freedom ⋮ Using Invariant Manifolds to Construct Symbolic Dynamics for Three-Dimensional Volume-Preserving Maps ⋮ Symbolic partition in chaotic maps ⋮ Topological dynamics of volume-preserving maps without an equatorial heteroclinic curve ⋮ Graph duality in surface dynamics

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