Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles

DOI10.1142/S0218127419300064zbMath1411.37030arXiv1806.06409OpenAlexW3101099863MaRDI QIDQ4631655

Sebastián A. Pérez, Lorenzo J. Dıaz

Publication date: 18 April 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06409

zbMATH Keywords

renormalization schemedominated splittingheterodimensional cycleHénon-like familiesblender-horseshoe

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Universality and renormalization of dynamical systems (37E20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (4)

Determining the global manifold structure of a continuous-time heterodimensional cycle ⋮ Robust heteroclinic tangencies ⋮ How to identify a hyperbolic set as a blender ⋮ Nontransverse heterodimensional cycles: Stabilisation and robust tangencies

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