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Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel'nikov method

Author
Gutiérrez, P.; Delshams, A.; Pacha, Juan R
Type of activity
Report
Date
2009-12
Code
[prepr200915DelGKP]
Repository
http://hdl.handle.net/2117/7156 Open in new window
URL
http://www.ma1.upc.edu/recerca/preprints2009.html#15 Open in new window
Abstract
We consider a perturbation of an integrable Hamiltonian system having an equilibrium point of elliptic-hyperbolic type, having a homoclinic orbit. More precisely, we consider an (n+2)-degree-of-freedom near integrable Hamiltonian with n centres and 2 saddles, and assume that the homoclinic orbit is preserved under the perturbation. On the centre manifold near the equilibrium, there is a Cantorian family of hyperbolic KAM tori, and we study the homoclinic intersections between the stable and unst...
Group of research
SD - UPC Dynamical Systems

Participants

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