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Volumn 7, Issue 2, 1997, Pages 177-209

KAM Theory Near Multiplicity One Resonant Surfaces in Perturbations of A-Priori Stable Hamiltonian Systems

Author keywords

Integrability on Cantor sets; KAM theory; Multiplicity one resonance surface; Normal form; Whiskered tori

Indexed keywords


EID: 0000770795     PISSN: 09388974     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02677977     Document Type: Article
Times cited : (23)

References (15)
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  • 2
    • 0000877933 scopus 로고
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    • (1964) Sov. Math. Dokl. , vol.5 , Issue.1964 , pp. 581-585
    • Arnold, V.I.1
  • 5
    • 0000446018 scopus 로고
    • Twistless KAM tori, quasi flat homoclinic intersections, and other cancellations in the perturbation series of certain completely integrable Hamiltonian systems. A review
    • Gallavotti, G. [1994] 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, 343-411.
    • (1994) Rev. Math. Phys. , vol.6 , pp. 343-411
    • Gallavotti, G.1
  • 6
    • 0003053373 scopus 로고
    • On the construction of hyperbolic invariant tori for Hamiltonian systems
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    • (1974) J. Differential Eqns. , vol.15 , Issue.1974 , pp. 1-69
    • Graff, S.1
  • 7
    • 85033127228 scopus 로고
    • #94-310 Deposited in the archive mp_arc. To get a TeX version of it, send an empty e-mail message to mp-arc@math.utexas.edu
    • Jorba A, and Simo, C. [1994] On Quasiperiodic Perturbations of Elliptic Equilibrium Points [1994]. #94-310 Deposited in the archive mp_arc. To get a TeX version of it, send an empty e-mail message to mp-arc@math.utexas.edu.
    • (1994) On Quasiperiodic Perturbations of Elliptic Equilibrium Points [1994]
    • Jorba, A.1    Simo, C.2
  • 9
    • 0001246972 scopus 로고
    • On conservation of conditionally periodic motions under small perturbations of the Hamiltonian
    • Kolmogorov, A. N. [1954] On conservation of conditionally periodic motions under small perturbations of the Hamiltonian. Dokl. Akad. Nauk USSR, 98(4), 527-530.
    • (1954) Dokl. Akad. Nauk USSR , vol.98 , Issue.4 , pp. 527-530
    • Kolmogorov, A.N.1
  • 11
    • 84980087693 scopus 로고
    • The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
    • Moser, J. [1956] The analytic invariants of an area-preserving mapping near a hyperbolic fixed point. Commun. Pure Appl. Math. 9, 673-692.
    • (1956) Commun. Pure Appl. Math. , vol.9 , pp. 673-692
    • Moser, J.1
  • 12
    • 84990623105 scopus 로고
    • Integrability of Hamiltonian systems on Cantor sets
    • Pöschel, J. [1982] Integrability of Hamiltonian systems on Cantor sets. Commun. Pure Appl. Math., 35, 653-695.
    • (1982) Commun. Pure Appl. Math. , vol.35 , pp. 653-695
    • Pöschel, J.1
  • 13
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in Hamiltonian systems
    • Pöschel, J. [1989] On elliptic lower dimensional tori in Hamiltonian systems. Math. Z., 213, 559-608.
    • (1989) Math. Z. , vol.213 , pp. 559-608
    • Pöschel, J.1
  • 14
    • 0001193375 scopus 로고
    • Nekhoroshev estimates for quasi-convex Hamiltonian systems
    • Pöschel, J. [1993] Nekhoroshev estimates for quasi-convex Hamiltonian systems. Math, Z., 202, 187-216.
    • (1993) Math, Z. , vol.202 , pp. 187-216
    • Pöschel, J.1
  • 15
    • 3042926459 scopus 로고
    • The mechanism of destruction of resonant tori of Hamiltonian systems
    • Treschev, D.V. [1991] The mechanism of destruction of resonant tori of Hamiltonian systems, Math. USSR Sb., 68, 181.
    • (1991) Math. USSR Sb. , vol.68 , pp. 181
    • Treschev, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.