Structure change of stable and unstable manifolds in two-dimensional maps. II: Island-merging and boundary crisis

DOI10.1016/0960-0779(93)90065-9zbMath0785.58038OpenAlexW1965798885MaRDI QIDQ2365795

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90065-9

zbMATH Keywords

strange attractortwo-dimensional maps

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

The Marotto theorem on planar monotone or competitive maps ⋮ The first direct heteroclinic tangency theorem in two-dimensional maps

Cites Work

• A theorem on the first heteroclinic tangency in two-dimensional maps. Orientation-preserving cases
• The dynamics of the Hénon map
• A two-dimensional mapping with a strange attractor
• Small random perturbations of dynamical systems and the definition of attractors
• Structure change of stable and unstable manifolds in two-dimensional maps: Period-doubling bifurcation
• New type of heteroclinic tangency in two-dimensional maps
• On the first tangency of stable and unstable manifolds in C r planar diffeomorphisms
• Crises, sudden changes in chaotic attractors, and transient chaos

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