Exponentially Small Splitting in Hamiltonian Systems

  • Amadeu Delshams
  • Tere M. Seara
Part of the NATO ASI Series book series (NSSB, volume 331)


We consider the exponentially small splitting of separatrices of analytic one-degree of freedom classical systems
$$ {H_0}(x,{\mkern 1mu} y){\mkern 1mu} = {\mkern 1mu} {y^2}/2{\mkern 1mu} + {\mkern 1mu} V(x) $$
under general rapidly periodic Hamiltonian perturbations.


Periodic Orbit Hamiltonian System Invariant Manifold Unstable Manifold Stable Manifold 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Amadeu Delshams
    • 1
  • Tere M. Seara
    • 1
  1. 1.Dep. de Matemàtica Aplicada IUniv. Politècnica de CatalunyaBarcelonaSpain

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