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Volumn 202, Issue 1, 2004, Pages 59-80

Covering relations for multidimensional dynamical systems - II

Author keywords

Arnold instability; Hamiltonian systems; Topological transversality; Transition tori

Indexed keywords


EID: 3543134841     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2004.03.014     Document Type: Article
Times cited : (40)

References (12)
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    • Burns, K.1    Weiss, H.2
  • 3
    • 0013256095 scopus 로고    scopus 로고
    • Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems
    • Delshams A. Gutiérrez P. Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems J. Nonlinear Sci. 10 2000 433-476
    • (2000) J. Nonlinear Sci. , vol.10 , pp. 433-476
    • Delshams, A.1    Gutiérrez, P.2
  • 4
    • 14844292873 scopus 로고    scopus 로고
    • A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Heuristics and rigorous verifications on a model
    • preprint
    • Delshams A. de la Llave R. Seara T.M. A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verifications on a model, preprint
    • Delshams, A.1    de la Llave, R.2    Seara, T.M.3
  • 5
    • 0001708795 scopus 로고
    • Homoclinic phenomena in Hamiltonian systems with several degrees of freedom
    • Easton R. Homoclinic phenomena in Hamiltonian systems with several degrees of freedom J. Differential Equations 29 1978 241-252
    • (1978) J. Differential Equations , vol.29 , pp. 241-252
    • Easton, R.1
  • 6
    • 0002936068 scopus 로고
    • Orbit structure near trajectories biasymptotic to invariant tori
    • R. Devaney, Z. Nitecki (Eds.), New York: Marcel Dekker
    • Easton R. Orbit structure near trajectories biasymptotic to invariant tori in: Devaney R. Nitecki Z.(Eds.) Classical Mechanics and Dynamical Systems 1981 55-67 Marcel Dekker New York
    • (1981) Classical Mechanics and Dynamical Systems , pp. 55-67
    • Easton, R.1
  • 7
    • 3543133367 scopus 로고    scopus 로고
    • Symbolic dynamics and transition tori-II
    • J. Delgado, E.A. Lacomba, J. Llibre and E. Pérez Chavela, (Eds.), Kluwer Academic/Plenum Publishers
    • Gidea M. Robinson C. Symbolic dynamics and transition tori-II, in: J. Delgado, E.A. Lacomba, J. Llibre and E. Pérez Chavela, (Eds.), New advances in Celestial Mechanics and Hamiltonian Systems, Hamsys-2001, Kluwer Academic/Plenum Publishers, 2004, pp. 95-108
    • (2004) New Advances in Celestial Mechanics and Hamiltonian Systems, Hamsys-2001 , pp. 95-108
    • Gidea, M.1    Robinson, C.2
  • 8
    • 0041513381 scopus 로고    scopus 로고
    • Topologically crossing heteroclinic connections to invariant tori
    • Gidea M. Robinson C. Topologically crossing heteroclinic connections to invariant tori J. Differential Equations 193 2003 49-74
    • (2003) J. Differential Equations , vol.193 , pp. 49-74
    • Gidea, M.1    Robinson, C.2
  • 9
    • 3543092733 scopus 로고    scopus 로고
    • Covering relations for multidimensional dynamical systems
    • Zgliczyński P. Gidea M. Covering relations for multidimensional dynamical systems J. Differential Equations 202 1 2004 32-58
    • (2004) J. Differential Equations , vol.202 , Issue.1 , pp. 32-58
    • Zgliczyński, P.1    Gidea, M.2
  • 11
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    • Melnikov's method and Arnold diffusion for perturbations of integrable Hamiltonian systems
    • Holmes P.J. Marsden J.E. Melnikov's method and Arnold diffusion for perturbations of integrable Hamiltonian systems J. Math. Phys. 23 1982 669-675
    • (1982) J. Math. Phys. , vol.23 , pp. 669-675
    • Holmes, P.J.1    Marsden, J.E.2
  • 12
    • 0041919134 scopus 로고    scopus 로고
    • Symbolic dynamics for transition tori
    • Robinson C. Symbolic dynamics for transition tori Contemp. Math. 292 2002 199-208
    • (2002) Contemp. Math. , vol.292 , pp. 199-208
    • Robinson, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.