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Volumn 140, Issue 1-2, 2000, Pages 1-32

Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem

Author keywords

Hill's problem; Homoclinic and heteroclinic connections; KAM tori; Restricted three body problem

Indexed keywords


EID: 0346684381     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(99)00211-0     Document Type: Article
Times cited : (132)

References (20)
  • 1
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    • Hill's equation with quasi-periodic forcing: Resonance tongues, instability pockets and global phenomena
    • H. Broer, C. Simó, Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena, Bul. Soc. Bras. Mat. 29 (1998) 253-293.
    • (1998) Bul. Soc. Bras. Mat. , vol.29 , pp. 253-293
    • Broer, H.1    Simó, C.2
  • 6
    • 84971996008 scopus 로고
    • The splitting of separatrices for analytic diffeomorphisms
    • E. Fontich, C. Simó, The splitting of separatrices for analytic diffeomorphisms, Ergodic Theory Dynamical Systems 10 (1990) 295-318.
    • (1990) Ergodic Theory Dynamical Systems , vol.10 , pp. 295-318
    • Fontich, E.1    Simó, C.2
  • 7
    • 0000163515 scopus 로고
    • Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
    • A. Giorgilli, A. Delshams, E. Fontich, L. Galgani, C. Simó, Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem, J. Differential Equations 77 (1989) 167-198.
    • (1989) J. Differential Equations , vol.77 , pp. 167-198
    • Giorgilli, A.1    Delshams, A.2    Fontich, E.3    Galgani, L.4    Simó, C.5
  • 10
    • 0003075968 scopus 로고
    • Numerical stability of the restricted problem: V. Hill's case: Periodic orbits and their stability
    • H. Hénon, Numerical stability of the restricted problem: V. Hill's case: periodic orbits and their stability, Astron. Astrophys. 1 (1969) 223-238.
    • (1969) Astron. Astrophys. , vol.1 , pp. 223-238
    • Hénon, H.1
  • 12
    • 0002036330 scopus 로고
    • On resonant nonlinearly coupled oscillators with two equal frequencies
    • M. Kummer, On resonant nonlinearly coupled oscillators with two equal frequencies, Commun. Math. Phys. 48 (1976) 53-79.
    • (1976) Commun. Math. Phys. , vol.48 , pp. 53-79
    • Kummer, M.1
  • 14
    • 0021660205 scopus 로고
    • The separation of motions in systems with rapidly rotating phase
    • A. Neishtadt, The separation of motions in systems with rapidly rotating phase, Prikladnaja Matematika i Mekhanika 48 (1984) 133-139.
    • (1984) Prikladnaja Matematika i Mekhanika , vol.48 , pp. 133-139
    • Neishtadt, A.1
  • 15
    • 0003053628 scopus 로고
    • Analytical and numerical computation of invariant manifolds
    • D. Benest, C. Froeschlé (Eds.), Editions Frontières, Dreux
    • C. Simó, Analytical and numerical computation of invariant manifolds, in: D. Benest, C. Froeschlé (Eds.), Modern Methods in Celestial Mechanics, Editions Frontières, Dreux, 1990, pp. 285-330.
    • (1990) Modern Methods in Celestial Mechanics , pp. 285-330
    • Simó, C.1
  • 16
    • 54649083821 scopus 로고    scopus 로고
    • Invariant curves of perturbations of non-twist integrable area preserving maps
    • C. Simó, Invariant curves of perturbations of non-twist integrable area preserving maps, Regular and Chaotic Dynamics 3 (1998) 180-195.
    • (1998) Regular and Chaotic Dynamics , vol.3 , pp. 180-195
    • Simó, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.