Covering relations for multidimensional dynamical systems. II
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Publication:1877849
DOI10.1016/j.jde.2004.03.014zbMath1096.37031OpenAlexW4213080596MaRDI QIDQ1877849
Marian Gidea, Piotr Zgliczyński
Publication date: 19 August 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.014
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Topological entropy (37B40) Index theory for dynamical systems, Morse-Conley indices (37B30)
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Cites Work
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- Topologically crossing heteroclinic connections to invariant tori.
- Covering relations for multidimensional dynamical systems
- Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems
- A geometric criterion for positive topological entropy
- A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
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