Homoclinic tangencies and fractal invariants in arbitrary dimension

DOI10.1016/S0764-4442(01)02085-7zbMath1192.37032OpenAlexW2007972441MaRDI QIDQ2761877

Carlos Gustavo T.de A. Moreira, Jacob Palis, Marcelo Viana

Publication date: 7 January 2002

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02085-7

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (6)

Elementary proof for the existence of periodic points with real and simple spectrum for diffeomorphisms in any dimension ⋮ Garding's inequality for elliptic differential operator with infinite number of variables ⋮ A global perspective for non-conservative dynamics ⋮ Homoclinic tangency and variation of entropy ⋮ Dissipative homoclinic loops of two-dimensional maps and strange attractors with one direction of instability ⋮ Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles

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