Blenders in centre unstable Hénon-like families: with an application to heterodimensional bifurcations
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Publication:5413625
DOI10.1088/0951-7715/27/3/353zbMath1291.37028arXiv1304.3965OpenAlexW3100024187MaRDI QIDQ5413625
Shin Kiriki, Katsutoshi Shinohara, Lorenzo J. Dıaz
Publication date: 30 April 2014
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.3965
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generic properties, structural stability of dynamical systems (37C20) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
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Determining the global manifold structure of a continuous-time heterodimensional cycle ⋮ Robust heteroclinic tangencies ⋮ Existence of blenders in a Hénon-like family: geometric insights from invariant manifold computations ⋮ Multichaos from Quasiperiodicity ⋮ How to identify a hyperbolic set as a blender ⋮ Blender-horseshoes in Center-unstable Hénon-like Families ⋮ Hénon-Like Families and Blender-Horseshoes at Nontransverse Heterodimensional Cycles ⋮ Newhouse phenomenon for automorphisms of low degree in \(\mathbb{C}^3\) ⋮ Piecewise linear maps with heterogeneous chaos ⋮ Fast growth of the number of periodic points arising from heterodimensional connections ⋮ Nontransverse heterodimensional cycles: Stabilisation and robust tangencies
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