Melnikov method and exponentially small splitting of separatrices

Physica D: Nonlinear Phenomena

Volumn 101, Issue 3-4, 1997, Pages 227-248

  Gelfreich, V G ^a  

^a Dimitrova 22 1 ^*  (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000664107     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00133-9     Document Type: Article

References (21)

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7. V.G. Gelfreich, Separatrices splitting for the rapidly forced pendulum (1990), unpublished.
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10. Nonlinearity, submitted.
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13. P. Holmes, J. Marsden and J. Scheurle, Exponentially small splitting of separatrices with applications to KAM theory and degenerate bifurcations, Contemp. Math. 81 (1988) 213-244.
14. P. Holmes, J. Marsden and J. Scheurle, Exponentially small estimates for separatrix splittings, in: Asymptotics Beyond All Orders (La Jolla, CA, 1991), NATO Adv. Sci. Inst. Ser. B. Phys., Vol. 84 (Plenum, New York, 1991) pp. 187-195.
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19. English transl.: J. Appl. Math. Mech. 48 (2) 133-139.
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