New type of heteroclinic tangency in two-dimensional maps

DOI10.1007/BF01048313zbMath0952.37504OpenAlexW1984694179MaRDI QIDQ1279371

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 18 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048313

zbMATH Keywords

stable and unstable manifoldsbasinhyperbolic fixed pointasymptotic heteroclinic tangencydirect heteroclinic tangency

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

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 ⋮ Structure change of stable and unstable manifolds in two-dimensional maps: Period-doubling bifurcation

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A two-dimensional mapping with a strange attractor
• Diffeomorphisms with infinitely many sinks
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Coexistence of periodic points in reversible dynamical systems on a surface
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