Basins of attraction near homoclinic tangencies

DOI10.1017/S0143385700007914zbMath0805.58044MaRDI QIDQ4300040

Carles Simó, Joan Carles Tatjer

Publication date: 1 February 1995

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

bifurcationbasin of attractionhomoclinic tangencyperiodic sinksdissipative diffeomorphism

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (4)

Lyapunov unstable Milnor attractors ⋮ Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps ⋮ Attractors and skew products ⋮ Boundary crisis bifurcation in two parameters

Cites Work

• Unnamed Item
• Unnamed Item
• The dynamics of the Hénon map
• Bifurcation to infinitely many sinks
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Abundance of strange attractors
• ON THE SMOOTHNESS OF THE COMPOSITION MAP
• ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I

This page was built for publication: Basins of attraction near homoclinic tangencies