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Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom

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Publication:379462
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DOI10.3934/DCDS.2013.33.2829zbMath1307.37033arXiv1204.2784OpenAlexW2146718501MaRDI QIDQ379462

Marcel Guardia

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1204.2784


zbMATH Keywords

exponentially small splitting of separatricesnearly integrable Hamiltonian systems


Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)


Related Items (3)

Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I ⋮ Oscillatory motions for the restricted planar circular three body problem ⋮ Symbolic dynamics in the restricted elliptic isosceles three body problem







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