메뉴 건너뛰기




Volumn 42, Issue 4, 1997, Pages 363-377

A λ-Lemma for Partially Hyperbolic Tori and the Obstruction Property

Author keywords

Hamiltonian systems; Hyperbolic tori; Topological instability; lemma

Indexed keywords


EID: 0000330238     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007433819941     Document Type: Article
Times cited : (22)

References (10)
  • 1
    • 0002718466 scopus 로고
    • Instability of dynamical systems with many degrees of freedom
    • Arnold, V. I.: Instability of dynamical systems with many degrees of freedom, Dokl. Akad. Nauk. USSR, 156 (1964), 9-11.
    • (1964) Dokl. Akad. Nauk. USSR , vol.156 , pp. 9-11
    • Arnold, V.I.1
  • 2
    • 0002590465 scopus 로고
    • Mathematical problems in classical physics
    • Appl. Math. Sci. Series 100, Springer-Verlag, New York
    • Arnold, V. I.: Mathematical problems in classical physics, in: Trends and Perspective in Applied Mathematics, Appl. Math. Sci. Series 100, Springer-Verlag, New York, 1992.
    • (1992) Trends and Perspective in Applied Mathematics
    • Arnold, V.I.1
  • 4
    • 51649160049 scopus 로고
    • A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method
    • Benettin, G., Galgani, L., Giorgilli, A. and Strelcyn, J.: A proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method, Nuovo Cimento 79 (2), (1984), 201-224.
    • (1984) Nuovo Cimento , vol.79 , Issue.2 , pp. 201-224
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.4
  • 5
    • 0003053373 scopus 로고
    • On the conservation of hyperbolic invariant tori for hamiltonian systems
    • Graff, S.: On the conservation of hyperbolic invariant tori for hamiltonian systems, J. Differential Equations 15 (1974), 1-69.
    • (1974) J. Differential Equations , vol.15 , pp. 1-69
    • Graff, S.1
  • 6
    • 1842754416 scopus 로고    scopus 로고
    • Arnold diffusion; a compendium of remarks and questions
    • C. Simo (ed.), S'agaro, Plenum Press, New York
    • Lochak, P.: Arnold diffusion; a compendium of remarks and questions, in: C. Simo (ed.), Proc. of the NATO Advanced Study Institute, 3-D Hamiltonian Systems, S'agaro, Plenum Press, New York, 1996.
    • (1996) Proc. of the NATO Advanced Study Institute, 3-D Hamiltonian Systems
    • Lochak, P.1
  • 7
    • 0001449034 scopus 로고    scopus 로고
    • Transition le long des chaînes de tores invariants pour les systèmes hamiltoniens analytiques
    • Marco, J.P.: Transition le long des chaînes de tores invariants pour les systèmes hamiltoniens analytiques, Ann. Inst. H. Poincaré, Phys. Théor. 64(2) (1996), 205-252.
    • (1996) Ann. Inst. H. Poincaré, Phys. Théor. , vol.64 , Issue.2 , pp. 205-252
    • Marco, J.P.1
  • 9
    • 3042926459 scopus 로고
    • The mechanism of destruction of resonance tori for hamiltonian systems
    • Treshchev, D. V.: The mechanism of destruction of resonance tori for hamiltonian systems, Math. USSR Sb. 68 (1991), 181-203.
    • (1991) Math. USSR Sb. , vol.68 , pp. 181-203
    • Treshchev, D.V.1
  • 10
    • 0003272507 scopus 로고
    • Global Bifurcation and Chaos
    • Springer-Verlag, New York
    • Wiggins, S.: Global Bifurcation and Chaos, Appl. Math Sci. 73, Springer-Verlag, New York, 1988.
    • (1988) Appl. Math Sci. 73
    • Wiggins, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.