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Hamiltonian dynamics near nontransverse homoclinic orbit to saddle-focus equilibrium

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Publication:1034179
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DOI10.3934/DCDS.2009.25.883zbMath1188.37029OpenAlexW1972520842MaRDI QIDQ1034179

Oksana Koltsova, Lev M. Lerman

Publication date: 11 November 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.883


zbMATH Keywords

Hamiltonian systemssymbolic dynamicshomoclinic orbitshyperbolic subsets


Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)


Related Items (3)

Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits ⋮ Strange attractors and wandering domains near a homoclinic cycle to a bifocus ⋮ On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations







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