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Volumn 3, Issue 1, 1997, Pages 1-10

Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing

Author keywords

Homoclinic orbits; Normal forms; Quasiperiodic forcing; Splitting of separatrices

Indexed keywords


EID: 85009772310     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-97-00017-6     Document Type: Article
Times cited : (5)

References (12)
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    • Exponentially small splitting of separatrices under fast quasiperiodic forcing
    • Univ. Barcelona, Barcelona
    • A. Delshams, V. G. Gelfreich, A. Jorba, and T. M. Seara, Exponentially small splitting of separatrices under fast quasiperiodic forcing, Math. Preprints Series 199, Univ. Barcelona, Barcelona, 1996.
    • (1996) Math. Preprints Series , vol.199
    • Delshams, A.1    Gelfreich, V.G.2    Jorba, A.3    Seara, T.M.4
  • 6
    • 21144460556 scopus 로고
    • An asymptotic expression for the splitting of separa- trices of the rapidly forced pendulum
    • MR 93i:34084
    • A. Delshams and T.M. Seara, An asymptotic expression for the splitting of separa- trices of the rapidly forced pendulum, Comm. Math. Phys. 150 (1992), 433-463. MR 93i:34084
    • (1992) Comm. Math. Phys , vol.150 , pp. 433-463
    • Delshams, A.1    Seara, T.M.2
  • 7
    • 0000446018 scopus 로고
    • Twistless KAM tori, quasi flat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems
    • MR 97a:58163
    • G. Gallavotti, Twistless KAM tori, quasi flat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems. A review, Rev. Math. Phys. 6 (1994), no. 3, 343-411. MR 97a:58163
    • (1994) A Review, Rev. Math. Phys , vol.6 , Issue.3 , pp. 343-411
    • Gallavotti, G.1
  • 8
    • 0039859649 scopus 로고
    • (Basel-Boston-Stuttgart) (S. Kuksin, V. F. Lazutkin, and J. Pöschel, eds.), held in St. Petersburg, Russia, 17-30 November, 1991, Birkhäuser, Basel-Boston-Stuttgart, MR 95f:34056
    • V. G. Gelfreich, Separatrices splitting for the rapidly forced pendulum, Proceedings of the Dynamical Systems Semester (Basel-Boston-Stuttgart) (S. Kuksin, V. F. Lazutkin, and J. Pöschel, eds.), held in St. Petersburg, Russia, 17-30 November, 1991, Birkhäuser, Basel-Boston-Stuttgart, 1993, pp. 47-67. MR 95f:34056
    • (1993) Separatrices Splitting for the Rapidly Forced Pendulum, Proceedings of the Dynamical Systems Semester , pp. 47-67
    • Gelfreich, V.G.1
  • 10
    • 0021660205 scopus 로고
    • The separation of motions in systems with rapidly rotating phase
    • MR 86j:34043
    • A. I. Neishtadt, The separation of motions in systems with rapidly rotating phase, J. Appl. Math. Mech. 48 (1984), no. 2, 133-139. MR 86j:34043
    • (1984) J. Appl. Math. Mech , vol.48 , Issue.2 , pp. 133-139
    • Neishtadt, A.I.1
  • 11
    • 0002761035 scopus 로고
    • Averaging under fast quasiperiodic forcing, Hamiltonian Mechanics: Integrability and Chaotic Behaviour
    • (New York) (J. Seimenis, ed.), held in Toruń, Polland, 28 June-2 July 1993, Plenum, New York, MR 96b:34065
    • C. Simó, Averaging under fast quasiperiodic forcing, Hamiltonian Mechanics: Integrability and Chaotic Behaviour (New York) (J. Seimenis, ed.), NATO Adv. Sci. Inst. Ser. B Phys., vol. 331, held in Toruń, Polland, 28 June-2 July 1993, Plenum, New York, 1994, pp. 13-34. MR 96b:34065
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.