Non-critical saddle-node cycles and robust non-hyperbolic dynamics

DOI10.1080/02681119708806240zbMath0883.58023OpenAlexW2086593113MaRDI QIDQ4348804

Jorge Rocha, Lorenzo J. Dıaz

Publication date: 23 March 1998

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119708806240

zbMATH Keywords

bifurcationdiffeomorphismsMorse-Smale systemsaxiom \(A\)

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Dynamical systems with hyperbolic behavior (37D99) Morse-Smale systems (37D15)

Related Items (2)

Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles ⋮ Partial hyperbolicity and robust transitivity

Cites Work

• Unnamed Item
• The dynamics of the Hénon map
• Bifurcations and stability of families of diffeomorphisms
• Contributions to the stability conjecture
• Abundance of strange attractors
• Partially hyperbolic sets from a co-dimension one bifurcation
• Persistent nonhyperbolic transitive diffeomorphisms
• Strange attractors in saddle-node cycles: Prevalence and globality
• Partially hyperbolic fixed points
• Nonconnected heterodimensional cycles: bifurcation and stability
• Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations
• On the approximation of Hénon-like attractors by homoclinic tangencies

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