Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
Aubin Arroyo, Federico Rodriguez Hertz (2003)
Annales de l'I.H.P. Analyse non linéaire
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Aubin Arroyo, Federico Rodriguez Hertz (2003)
Annales de l'I.H.P. Analyse non linéaire
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J. Palis (2005)
Annales de l'I.H.P. Analyse non linéaire
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David Ruelle (1985)
Annales de l'I.H.P. Physique théorique
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Liverani, C. (2004)
Mathematical Physics Electronic Journal [electronic only]
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Pierre Lochak, Jean-Pierre Marco (2005)
Open Mathematics
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For a positive integer n and R>0, we set . Given R>1 and n≥4 we construct a sequence of analytic perturbations (H j) of the completely integrable Hamiltonian on , with unstable orbits for which we can estimate the time of drift in the action space. These functions H j are analytic on a fixed complex neighborhood V of , and setting the time of drift of these orbits is smaller than (C(1/ɛ j)1/2(n-3)) for a fixed constant c>0. Our unstable orbits stay close to a doubly...
Vanderlei Horita, Ali Tahzibi (2006)
Annales de l'I.H.P. Analyse non linéaire
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