C2-robust heterodimensional tangencies

DOI10.1088/0951-7715/25/12/3277zbMath1276.37015arXiv1109.4200OpenAlexW2038877670MaRDI QIDQ4920082

Teruhiko Soma, Shin Kiriki

Publication date: 16 May 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4200

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Infinite nonwandering sets arising in bifurcations of dynamical systems (37G30) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (8)

Robust heteroclinic tangencies ⋮ Non-trivial wandering domains for heterodimensional cycles ⋮ Robust tangencies of large codimension ⋮ Blender-horseshoes in Center-unstable Hénon-like Families ⋮ Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles ⋮ Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors ⋮ Nontransverse heterodimensional cycles: Stabilisation and robust tangencies ⋮ Stable intersection of Cantor sets in higher dimension and robust homoclinic tangency of the largest codimension

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