Exploració per tema "arithmetic properties of frequencies"
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Exponentially small splitting for whiskered tori in Hamiltonian systems: Continuation of transverse homoclinic orbits
(2003)
Article
Accés obertWe consider an example of singular or weakly hyperbolic Hamiltonian, with 3 degrees of freedom, as a model for the behaviour of a nearly-integrable Hamiltonian near a simple resonance. The model consists of an integrable ... -
Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems
(2003)
Article
Accés obertWe study the existence of transverse homoclinic orbits in a singular or weakly hyperbolic Hamiltonian, with $3$ degrees of freedom, as a model for the behaviour of a nearly-integrable Hamiltonian near a simple resonance. ...