A class of differentiable toral maps which are topologically mixing

DOI10.1090/S0002-9939-99-04608-0zbMath0933.37012OpenAlexW1481898889MaRDI QIDQ4226304

Naoya Sumi

Publication date: 25 January 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04608-0

zbMATH Keywords

sensitive dependence on initial conditionstopological mixingtransversal homoclinic pointAnosov differentiable mapDA-maptoral diffeomorphisms

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (4)

Topological properties of differentiable maps derived from 2-toral endomorphisms ⋮ SRB measures for partially hyperbolic attractors of local diffeomorphisms ⋮ Volume lemmas and large deviations for partially hyperbolic endomorphisms ⋮ Robustly non-hyperbolic transitive endomorphisms on 𝕋²

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