Mel'nikov's approximation dominance. Some examples

Reviews in Mathematical Physics

Volumn 11, Issue 4, 1999, Pages 451-461

  Gallavotti, G ^c   Gentile, G ^a   Mastropietro, V ^b  

^a ROMA TRE UNIVERSITY   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033436279     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X99000167     Document Type: Article

References (15)

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3. L. Chierchia and G. Gallavotti, "Drift and diffusion in phase space", Annales de l'Institut Henri Poincaré B60 (1994) 1-144. See also the "Erratum", Annales de l'Institut Henri Poincaré B68 (1998), 135.
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8. G. Gallavotti, G. Gentile and V. Mastropietro, "Separatrix splitting for systems with three degrees of freedom", Preprint, in mp_arc@math.utexas.edu, #97-472 with the title "Pendulum: separatrix splitting" in Commun. Math. Phys.
9. G. Gallavotti, G. Gentile and V. Mastropietro, "Separatrix splitting for systems with three degrees of freedom", Preprint, in mp_arc@math.utexas.edu, #97-472 with the title "Pendulum: separatrix splitting" in Commun. Math. Phys.
10. G. Gallavotti, G. Gentile and V. Mastropietro, "Hamilton-Jacobi equation, heteroclinic chains and Arnol'd diffusion in three time scales systems", archived in chao-dyn@xyz. lanl. gov #9801004.
11. G. Gallavotti, G. Gentile and V. Mastropietro, "A comment on the Physica D paper by Rudnev and Wiggins", mp_arc@math.utexas.edu, #98-245. See also "Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D", chao-dyn 9804017 to appear in Physica D.
12. G. Gallavotti, G. Gentile and V. Mastropietro, "A comment on the Physica D paper by Rudnev and Wiggins", mp_arc@math.utexas.edu, #98-245. See also "Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica D", chao-dyn 9804017 to appear in Physica D.
13. A. I. Neishtadt, "The separation of motions in systems with rapidly rotating phase", J. App. Math. and Mechanics 48(2) (1984) 133-139.
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15. Collection of the comments received by us from colleagues and from referees about the paper [7], and our replies: in http://ipparco.romal.infn.it.