The first direct heteroclinic tangency theorem in two-dimensional maps

DOI10.1016/0960-0779(93)90024-UzbMath0778.58051MaRDI QIDQ686073

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 1 November 1993

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

zbMATH Keywords

spheretoruscylinderJordan curve theoremfirst direct heteroclinic tangency

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

The Marotto theorem on planar monotone or competitive maps

Cites Work

• A theorem on the first heteroclinic tangency in two-dimensional maps. Orientation-preserving cases
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Structure change of stable and unstable manifolds in two-dimensional maps: Period-doubling bifurcation
• Structure change of stable and unstable manifolds in two-dimensional maps. II: Island-merging and boundary crisis
• On the first tangency of stable and unstable manifolds in C r planar diffeomorphisms
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