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Volumn 2002, Issue , 2002, Pages

Some remarks on the Melnikov function

Author keywords

Fourier coefficients; Melnikov function; Residues

Indexed keywords


EID: 52449089742     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (10)
  • 2
    • 38249016487 scopus 로고
    • Exponential dichotomies, heteroclinic orbits, and Melnikov functions
    • Battelli, F. and Lazzari, C. Exponential dichotomies, heteroclinic orbits, and Melnikov functions, J. Diff. Equations 86 (1990), 342-366.
    • (1990) J. Diff. Equations , vol.86 , pp. 342-366
    • Battelli, F.1    Lazzari, C.2
  • 3
    • 0003013974 scopus 로고    scopus 로고
    • Higher dimensional Melnikov mappings
    • Feckan, M. Higher dimensional Melnikov mappings, Math. Slovaca 49 (1999), 75-83.
    • (1999) Math. Slovaca , vol.49 , pp. 75-83
    • Feckan, M.1
  • 4
    • 0033241455 scopus 로고    scopus 로고
    • A proof of the exponentially small transversality of the separatrices for the standard map
    • Gelfreich, V.G. A proof of the exponentially small transversality of the separatrices for the standard map, Comm. Math. Phys. 201 (1999), 155-216.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 155-216
    • Gelfreich, V.G.1
  • 5
    • 0001566601 scopus 로고
    • The existence of homoclinic orbits and the method of Melnikov for systems in R"
    • Gruendler, J. The existence of homoclinic orbits and the method of Melnikov for systems in R", SIAM J. Math. Analysis 16 (1985), 907-931.
    • (1985) SIAM J. Math. Analysis , vol.16 , pp. 907-931
    • Gruendler, J.1
  • 6
    • 84944978720 scopus 로고
    • Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
    • Guckenheimer, J. and Holmes, P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, 1983.
    • (1983) Springer-Verlag, New York
    • Guckenheimer, J.1    Holmes, P.2
  • 7
    • 0018984656 scopus 로고
    • Averaging and chaotic motions in forced oscillations
    • Holmes, P. Averaging and chaotic motions in forced oscillations, SIAM J. Appl. Math. 38 (1980), 65-80.
    • (1980) SIAM J. Appl. Math. , vol.38 , pp. 65-80
    • Holmes, P.1
  • 8
    • 48549112859 scopus 로고
    • Exponential dichotomies and transversal homoclinic points
    • Palmer, K. J. Exponential dichotomies and transversal homoclinic points, J. Diff. Equations 55 (1984), 225-256.
    • (1984) J. Diff. Equations , vol.55 , pp. 225-256
    • Palmer, K.J.1
  • 10
    • 84968514104 scopus 로고
    • Differentiable dynamical systems
    • Smale S. Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 747-817
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.