On the approximation of Hénon-like attractors by homoclinic tangencies

DOI10.1017/S0143385700009895zbMath0841.58044MaRDI QIDQ4863821

Raúl Ures

Publication date: 18 July 1996

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

zbMATH Keywords

diffeomorphismstrange attractorhomoclinic tangencyHénon attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

Parametrized family of pseudo‐arc attractors: Physical measures and prime end rotations ⋮ Coexistence phenomena in the Hénon family ⋮ SRB measures for partially hyperbolic attractors of local diffeomorphisms ⋮ Non-critical saddle-node cycles and robust non-hyperbolic dynamics ⋮ Statistical stability for Hénon maps of the Benedicks-Carleson type ⋮ Statistical instability for contracting Lorenz flows ⋮ On discrete Lorenz-like attractors

Cites Work

• Unnamed Item
• The dynamics of the Hénon map
• Bifurcation to infinitely many sinks
• Hyperbolicity and the creation of homoclinic orbits
• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Abundance of strange attractors
• Cascades of period-doubling bifurcations: A prerequisite for horseshoes
• Strange attractors in higher dimensions
• Abundance of generic homoclinic tangencies in real-analytic families of diffeomorphisms

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