Homoclinic tangencies of arbitrarily high order in conservative two-dimensional maps

DOI10.1134/S1064562406020153zbMath1327.37014OpenAlexW2066527840MaRDI QIDQ492320

L. P. Shil'nikov, Sergey V. Gonchenko, Dmitry V. Turaev

Publication date: 20 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406020153

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

Related Items (1)

On three types of dynamics and the notion of attractor

Cites Work

• The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
• Generic diffeomorphisms with superexponential growth of number of periodic orbits
• Symbolic extensions and smooth dynamical systems
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
• Persistent homoclinic tangencies for conservative maps near the identity
• Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps

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