Homoclinic orbits to invariant tori near
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Oksana Koltsova; Lev Lerman; Amadeu Delshams; Pere GutiΓ©rrez
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Article
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2005
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Elsevier Science
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English
β 257 KB
We consider a perturbation of an integrable Hamiltonian vector field with three degrees of freedom with a center-center-saddle equilibrium having a homoclinic orbit or loop. With the help of a PoincarΓ© map (chosen based on the unperturbed homoclinic loop), we study the homoclinic intersections betwe