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Volumn 14, Issue 5, 2001, Pages 943-976

Numerical computation of the normal behaviour of invariant curves of n-dimensional maps

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EID: 0040483472     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/14/5/303     Document Type: Article
Times cited : (126)

References (38)
  • 2
    • 0031287692 scopus 로고    scopus 로고
    • On Melnikov's persistency problem
    • Bourgain J 1997 On Melnikov's persistency problem Math. Res. Lett. 4 445-58
    • (1997) Math. Res. Lett. , vol.4 , pp. 445-458
    • Bourgain, J.1
  • 4
    • 27144516452 scopus 로고    scopus 로고
    • Hill's equation with quasi-periodic forcing: Resonance tongues, instability pockets and global phenomena
    • Broer H W and Simó C 1998 Hill's equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena Bol. Soc. Bras. Mat. 29 253-93
    • (1998) Bol. Soc. Bras. Mat. , vol.29 , pp. 253-293
    • Broer, H.W.1    Simó, C.2
  • 5
    • 0006963160 scopus 로고    scopus 로고
    • Towards global models near homoclinic tangencies of dissipative diffeomorphisms
    • Broer H W, Simó C and Tatjer J C 1998 Towards global models near homoclinic tangencies of dissipative diffeomorphisms Nonlinearity 11 667-770
    • (1998) Nonlinearity , vol.11 , pp. 667-770
    • Broer, H.W.1    Simó, C.2    Tatjer, J.C.3
  • 6
    • 0040845842 scopus 로고    scopus 로고
    • On the vertical families of two-dimensional tori near the triangular points of the bicircular problem
    • Castellà E and Jorba À 2000 On the vertical families of two-dimensional tori near the triangular points of the bicircular problem Celestial Mech. 76 35-54
    • (2000) Celestial Mech. , vol.76 , pp. 35-54
    • Castellà, E.1    Jorba, À.2
  • 8
    • 0040251437 scopus 로고
    • Some periodic solutions of a four-body problem
    • Cronin J, Richards P B and Russell L H 1964 Some periodic solutions of a four-body problem Icarus 3 423-8
    • (1964) Icarus , vol.3 , pp. 423-428
    • Cronin, J.1    Richards, P.B.2    Russell, L.H.3
  • 10
    • 0000412297 scopus 로고
    • Perturbations of stable invariant tori for Hamiltonian systems
    • Eliasson L H 1988 Perturbations of stable invariant tori for Hamiltonian systems Ann. Sc. Norm. Super. Pisa, Cl. Sci. 15 115-47
    • (1988) Ann. Sc. Norm. Super. Pisa, Cl. Sci. , vol.15 , pp. 115-147
    • Eliasson, L.H.1
  • 11
    • 0001401431 scopus 로고
    • Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
    • Eliasson L H 1992 Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation Commun. Math. Phys. 146 447-82
    • (1992) Commun. Math. Phys. , vol.146 , pp. 447-482
    • Eliasson, L.H.1
  • 12
    • 0013297918 scopus 로고    scopus 로고
    • Reducibility and point spectrum for linear quasi-periodic skew-products
    • electronic
    • Eliasson L H 1998 Reducibility and point spectrum for linear quasi-periodic skew-products Proc. Int. Congress of Mathematicians (Berlin 1998) vol 2 (electronic) pp 779-87
    • (1998) Proc. Int. Congress of Mathematicians (Berlin 1998) , vol.2 , Issue.ELECTRONIC , pp. 779-787
    • Eliasson, L.H.1
  • 14
    • 0003053373 scopus 로고
    • On the conservation of hyperbolic invariant tori for Hamiltonian systems
    • Graff S 1974 On the conservation of hyperbolic invariant tori for Hamiltonian systems J. Diff. Equ. 15 1-69
    • (1974) J. Diff. Equ. , vol.15 , pp. 1-69
    • Graff, S.1
  • 15
    • 0033243813 scopus 로고    scopus 로고
    • A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems
    • Jorba À 1999 A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems Exp. Math. 8 155-95
    • (1999) Exp. Math. , vol.8 , pp. 155-195
    • Jorba, À.1
  • 16
    • 0039067526 scopus 로고    scopus 로고
    • On practical stability regions for the motion of a small particle close to the equilateral points of the real Earth-Moon system
    • ed J Delgado, E A Lacomba, E Pérez-Chavela and J Llibre (Singapore: World Scientific)
    • Jorba À 2000 On practical stability regions for the motion of a small particle close to the equilateral points of the real Earth-Moon system Hamiltonian Systems and Celestial Mechanics (HAMSYS-98) ed J Delgado, E A Lacomba, E Pérez-Chavela and J Llibre (Singapore: World Scientific) pp 197-213
    • (2000) Hamiltonian Systems and Celestial Mechanics (HAMSYS-98) , pp. 197-213
    • Jorba, À.1
  • 17
    • 0009825667 scopus 로고    scopus 로고
    • A numerical study on the existence of stable motions near the triangular points of the real Earth-Moon system
    • Jorba À 2000 A numerical study on the existence of stable motions near the triangular points of the real Earth-Moon system Astron. Astrophys. 364 327-38
    • (2000) Astron. Astrophys. , vol.364 , pp. 327-338
    • Jorba, À.1
  • 18
  • 19
    • 0040831296 scopus 로고    scopus 로고
    • Effective reducibility of quasiperiodic linear equations close to constant coefficients
    • Jorba À, Ramírez-Ros R and Villanueva J 1997 Effective reducibility of quasiperiodic linear equations close to constant coefficients SIAM. J. Math. Anal. 28 178-88
    • (1997) SIAM. J. Math. Anal. , vol.28 , pp. 178-188
    • Jorba, À.1    Ramírez-Ros, R.2    Villanueva, J.3
  • 20
    • 0000868522 scopus 로고
    • On the reducibility of linear differential equations with quasiperiodic coefficients
    • Jorba À and Simó C 1992 On the reducibility of linear differential equations with quasiperiodic coefficients J. Diff. Equ. 98 111-24
    • (1992) J. Diff. Equ. , vol.98 , pp. 111-124
    • Jorba, À.1    Simó, C.2
  • 21
    • 0040507795 scopus 로고    scopus 로고
    • On the normal behaviour of partially elliptic lower dimensional tori of Hamiltonian systems
    • Jorba À and Villanueva J 1997 On the normal behaviour of partially elliptic lower dimensional tori of Hamiltonian systems Nonlinearity 10 783-822
    • (1997) Nonlinearity , vol.10 , pp. 783-822
    • Jorba, À.1    Villanueva, J.2
  • 22
    • 0000500437 scopus 로고    scopus 로고
    • On the persistence of lower dimensional invariant tori under quasi-periodic perturbations
    • Jorba Àand Villanueva J 1997 On the persistence of lower dimensional invariant tori under quasi-periodic perturbations J. Nonlinear Sci. 7 427-73
    • (1997) J. Nonlinear Sci. , vol.7 , pp. 427-473
    • Jorba, À.1    Villanueva, J.2
  • 23
    • 0001686403 scopus 로고    scopus 로고
    • Numerical computation of normal forms around some periodic orbits of the restricted three body problem
    • Jorba À and Villanueva J 1998 Numerical computation of normal forms around some periodic orbits of the restricted three body problem Phys. D 114 197-229
    • (1998) Phys. D , vol.114 , pp. 197-229
    • Jorba, À.1    Villanueva, J.2
  • 26
    • 9444266308 scopus 로고    scopus 로고
    • Réductibilité des systèmes produits-croisés àvaleurs dans des groupes compacts
    • Paris: Société Mathématique de France
    • Krikorian R 1999 Réductibilité des systèmes produits-croisés àvaleurs dans des groupes compacts Astérisque vol 259 (Paris: Société Mathématique de France)
    • (1999) Astérisque , vol.259
    • Krikorian, R.1
  • 27
    • 0033099426 scopus 로고    scopus 로고
    • Réductibilité presque partout des flots fibres quasi-périodiques à valeurs dans des groupes compacts
    • Krikorian R 1999 Réductibilité presque partout des flots fibres quasi-périodiques à valeurs dans des groupes compacts Ann. Sci. École Norm. Sup. 32 187-240
    • (1999) Ann. Sci. École Norm. Sup. , vol.32 , pp. 187-240
    • Krikorian, R.1
  • 29
    • 0009612243 scopus 로고
    • Hyperbolic dynamical systems and generation of magnetic fields by perfectly conducting fluids
    • de la Llave R 1993 Hyperbolic dynamical systems and generation of magnetic fields by perfectly conducting fluids Geophys. Astrophys. Fluid Dynam. 73 123-31
    • (1993) Geophys. Astrophys. Fluid Dynam. , vol.73 , pp. 123-131
    • De La Llave, R.1
  • 31
    • 0001525410 scopus 로고
    • Characterization of anosov diffeomorphisms
    • Mather J N 1968 Characterization of Anosov diffeomorphisms Proc. Ned. Akad. Wet. A 30 479-83
    • (1968) Proc. Ned. Akad. Wet. A , vol.30 , pp. 479-483
    • Mather, J.N.1
  • 32
    • 0000882204 scopus 로고
    • On elliptic lower dimensional tori in Hamiltonian systems
    • Pöschel J 1989 On elliptic lower dimensional tori in Hamiltonian systems Math. Z. 202 559-608
    • (1989) Math. Z. , vol.202 , pp. 559-608
    • Pöschel, J.1
  • 34
    • 0001512199 scopus 로고
    • Renormalization of cocycles and linear ODE with almost periodic coefficients
    • Rychlik M 1992 Renormalization of cocycles and linear ODE with almost periodic coefficients Invent. Math. 110 173-206
    • (1992) Invent. Math. , vol.110 , pp. 173-206
    • Rychlik, M.1
  • 35
    • 0039659687 scopus 로고    scopus 로고
    • Dynamical properties of the figure eight solution of the three-body problem
    • ed A Chenciner, R Cushman, C Robinson and Z Xia (Providence, RI: American Mathematical Society) to appear
    • Simó C 1999 Dynamical properties of the figure eight solution of the three-body problem Proc. Int. Conf. on Celestial Mechanics (Evanston, 1999) ed A Chenciner, R Cushman, C Robinson and Z Xia (Providence, RI: American Mathematical Society) to appear
    • (1999) Proc. Int. Conf. on Celestial Mechanics (Evanston, 1999)
    • Simó, C.1
  • 36
    • 0009318412 scopus 로고    scopus 로고
    • Effective computations in celestial mechanics and astrodynamics modern methods of analytical mechanics and their applications
    • ed V V Rumyantsev and A V Karapetyan (Berlin: Springer)
    • Simö C 1998 Effective computations in celestial mechanics and astrodynamics Modern Methods of Analytical Mechanics and their Applications (CISM Courses and Lectures vol 387) ed V V Rumyantsev and A V Karapetyan (Berlin: Springer)
    • (1998) CISM Courses and Lectures , vol.387
    • Simö, C.1
  • 37
    • 0000879938 scopus 로고
    • The bicircular model near the triangular libration points of the RTBP
    • ed A E Roy and B A Steves (New York: Plenum)
    • Simó C, Gómez G, Jorba Àand Masdemont J 1995 The bicircular model near the triangular libration points of the RTBP From Newton to Chaos ed A E Roy and B A Steves (New York: Plenum) pp 343-70
    • (1995) From Newton to Chaos , pp. 343-370
    • Simó, C.1    Gómez, G.2    Jorba, À.3    Masdemont, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.