Persistent homoclinic tangencies and the unfolding of cycles

DOI10.1016/S0294-1449(16)30172-XzbMath0834.58034OpenAlexW2294494401MaRDI QIDQ1904224

Raúl Ures, Lorenzo J. Dıaz

Publication date: 1 April 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1994__11_6_643_0

zbMATH Keywords

cyclebifurcationhyperbolichomoclinic tangencyheteroclinic point

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

On super-exponential divergence of periodic points for partially hyperbolic systems

Cites Work

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• Strange attractors in saddle-node cycles: Prevalence and globality
• Partially hyperbolic fixed points
• Nonconnected heterodimensional cycles: bifurcation and stability
• Strange attractors in higher dimensions
• Robust nonhyperbolic dynamics and heterodimensional cycles
• Persistence of homoclinic tangencies in higher dimensions
• Persistence of cycles and nonhyperbolic dynamics at heteroclinic bifurcations

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