Robust tangencies of large codimension

DOI10.1088/1361-6544/aa8818zbMath1385.37027arXiv1707.05638OpenAlexW2736604435MaRDI QIDQ4600122

Artem Raibekas, Pablo G. Barrientos

Publication date: 5 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05638

zbMATH Keywords

blenderhomoclinic tangencyheterodimensional tangencybundle tangency

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (12)

Almost blenders and parablenders ⋮ Homoclinic tangencies leading to robust heterodimensional cycles ⋮ Robust heteroclinic tangencies ⋮ Typical coexistence of infinitely many strange attractors ⋮ Robustly non-hyperbolic transitive symplectic dynamics ⋮ A link between topological entropy and Lyapunov exponents ⋮ Robust degenerate unfoldings of cycles and tangencies ⋮ Newhouse phenomenon for automorphisms of low degree in \(\mathbb{C}^3\) ⋮ Historic behavior in nonhyperbolic homoclinic classes ⋮ Historic wandering domains near cycles ⋮ 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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