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Volumn 61, Issue 6, 1997, Pages 744-757

Separatrix splitting from the point of view of symplectic geometry

Author keywords

Hamiltonian system; Hyperbolic torus; Separatrix splitting; Symplectic invariant

Indexed keywords


EID: 0013207331     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02361217     Document Type: Review
Times cited : (3)

References (11)
  • 1
    • 0004116901 scopus 로고
    • New Methods of Celestial Mechanics. Vols. 1-3
    • Nauka, Moscow
    • A. Poincaré, "New Methods of Celestial Mechanics. Vols. 1-3," in: Selected Works [Russian translation], Vols. 1-2, Nauka, Moscow (1971, 1972).
    • (1971) Selected Works [Russian Translation] , vol.1-2
    • Poincaré, A.1
  • 2
    • 36749107242 scopus 로고
    • Melnikov's method and Arnold diffusion of perturbations of integrable systems
    • P. J. Holmes and J. E. Marsden, "Melnikov's method and Arnold diffusion of perturbations of integrable systems," J. Math. Phys., 23, No. 4, 669-675 (1982).
    • (1982) J. Math. Phys. , vol.23 , Issue.4 , pp. 669-675
    • Holmes, P.J.1    Marsden, J.E.2
  • 5
    • 0001834024 scopus 로고
    • Hyperbolic tori and asymptotic surfaces in Hamiltonian systems
    • D. Treshev, "Hyperbolic tori and asymptotic surfaces in Hamiltonian systems," Russian J. Math. Phys., 2, No. 1, 93-110 (1994).
    • (1994) Russian J. Math. Phys. , vol.2 , Issue.1 , pp. 93-110
    • Treshev, D.1
  • 6
    • 0012898101 scopus 로고
    • Refined formula to separatrix splitting for the standard map
    • V. Lazutkin, N. V. Svanidze, and V. G. Gelfreich, "Refined formula to separatrix splitting for the standard map," Phys. Rev. D, 71, No. 2, 101-131 (1994).
    • (1994) Phys. Rev. D , vol.71 , Issue.2 , pp. 101-131
    • Lazutkin, V.1    Svanidze, N.V.2    Gelfreich, V.G.3
  • 7
    • 0003053373 scopus 로고
    • On the conservation of hyperbolic tori for Hamiltonian systems
    • S. M. Graff, "On the conservation of hyperbolic tori for Hamiltonian systems," J. Differential Equations, 15, No. 1, 1-69 (1974).
    • (1974) J. Differential Equations , vol.15 , Issue.1 , pp. 1-69
    • Graff, S.M.1
  • 10
    • 0000868522 scopus 로고
    • On the reducibility of linear differential equations with quasiperiodic coefficients
    • A. Jorba and C. Simo, "On the reducibility of linear differential equations with quasiperiodic coefficients," J. Differential Equations, 98, 111-124 (1992).
    • (1992) J. Differential Equations , vol.98 , pp. 111-124
    • Jorba, A.1    Simo, C.2
  • 11
    • 0030520995 scopus 로고    scopus 로고
    • On quasiperiodic perturbations of elliptic equilibrium points
    • to appear
    • A. Jorba and C. Simo, "On quasiperiodic perturbations of elliptic equilibrium points," CIAM J. Math. Anal. (to appear).
    • CIAM J. Math. Anal.
    • Jorba, A.1    Simo, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.