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On the continuation of degenerate periodic orbits in Hamiltonian systems

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Publication:925182
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DOI10.1070/RD2006v011n01ABEH000339zbMath1135.37323OpenAlexW4245955953MaRDI QIDQ925182

Galina Stagika, Efi Meletlidou

Publication date: 30 May 2008

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rd2006v011n01abeh000339



Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nearly integrable Hamiltonian systems, KAM theory (70H08)


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Low dimensional completely resonant tori in Hamiltonian lattices and a theorem of Poincaré ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori ⋮ On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors




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