메뉴 건너뛰기




Volumn 146, Issue 1, 1998, Pages 67-89

Destruction of Invariant Tori in Pendulum-Type Equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038905813     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3413     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 48749143267 scopus 로고
    • The discrete Frenkel-Kontorova model and its extensions I: Exact results for the ground states
    • Aubry S., Le Daeron P. Y. The discrete Frenkel-Kontorova model and its extensions I: exact results for the ground states. Phys. Rev. D. 8:1983;381-422.
    • (1983) Phys. Rev. D , vol.8 , pp. 381-422
    • Aubry, S.1    Le Daeron, P.Y.2
  • 2
    • 0001824105 scopus 로고
    • Mather sets for twist maps and geodesics on tori
    • Bangert V. Mather sets for twist maps and geodesics on tori. Dynam. Rep. 1:1988;1-45.
    • (1988) Dynam. Rep. , vol.1 , pp. 1-45
    • Bangert, V.1
  • 4
    • 0009171521 scopus 로고
    • Mather sets for plane Hamiltonian systems
    • Denzler J. Mather sets for plane Hamiltonian systems. J. Appl. Math. Phys. (ZAMP). 38:1987;791-812.
    • (1987) J. Appl. Math. Phys. (ZAMP) , vol.38 , pp. 791-812
    • Denzler, J.1
  • 6
    • 84971946620 scopus 로고
    • KAM theory for particles in periodic potentials
    • Levi M. KAM theory for particles in periodic potentials. Ergodic Theory Dynam. Systems. 10:1990;777-785.
    • (1990) Ergodic Theory Dynam. Systems , vol.10 , pp. 777-785
    • Levi, M.1
  • 7
    • 21844524093 scopus 로고
    • Boundedness of solutions for quasiperiodic potentials
    • Levi M., Zehnder E. Boundedness of solutions for quasiperiodic potentials. SIAM J. Math. Anal. 26:1995;1233-1256.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1233-1256
    • Levi, M.1    Zehnder, E.2
  • 9
  • 10
    • 84968510181 scopus 로고
    • Variational construction of orbits for twist diffeomorphisms
    • Mather J. N. Variational construction of orbits for twist diffeomorphisms. J. Amer. Math. Soc. 4:1991;203-267.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 203-267
    • Mather, J.N.1
  • 12
    • 0003292012 scopus 로고
    • Stable and Random Motions in Dynamical Systems
    • Princeton: Princeton Univ. Press
    • Moser J. Stable and Random Motions in Dynamical Systems. Ann. of Math. Stud. 77:1973;Princeton Univ. Press, Princeton.
    • (1973) Ann. of Math. Stud. , vol.77
    • Moser, J.1
  • 13
    • 0022882610 scopus 로고
    • Recent developments in the theory of Hamiltonian systems
    • Moser J. Recent developments in the theory of Hamiltonian systems. SIAM Rev. 28:1986;459-485.
    • (1986) SIAM Rev. , vol.28 , pp. 459-485
    • Moser, J.1
  • 15
    • 51249178296 scopus 로고
    • Quasi-periodic solutions of nonlinear elliptic partial differential equations
    • Moser J. Quasi-periodic solutions of nonlinear elliptic partial differential equations. Bol. Soc. Brasil. Mat. 20:1989;29-45.
    • (1989) Bol. Soc. Brasil. Mat. , vol.20 , pp. 29-45
    • Moser, J.1
  • 16
    • 0011077934 scopus 로고
    • Minimal foliations on a torus
    • M. Giaquinta. Berlin/New York: Springer-Verlag
    • Moser J. Minimal foliations on a torus. Giaquinta M. Topics in Calculus of Variations. Lecture Notes in Math. 1365:1989;62-99 Springer-Verlag, Berlin/New York.
    • (1989) Topics in Calculus of Variations. Lecture Notes in Math , vol.1365 , pp. 62-99
    • Moser, J.1
  • 17
    • 38249017826 scopus 로고
    • Invariant tori and Lagrange stability of pendulum-type equations
    • You J. Invariant tori and Lagrange stability of pendulum-type equations. J. Differential Equations. 85:1990;54-65.
    • (1990) J. Differential Equations , vol.85 , pp. 54-65
    • You, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.