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Volumn 79, Issue 2, 1999, Pages 381-413

Boundedness in a piecewise linear oscillator and a variant of the small twist theorem

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EID: 0000825354     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611599012034     Document Type: Article
Times cited : (97)

References (26)
  • 1
    • 84972074664 scopus 로고
    • Invariant curves around a parabolic fixed point at infinity
    • D. AHARONOV and U. ELIAS, 'Invariant curves around a parabolic fixed point at infinity', Ergodic Theory Dynam. Systems 10 (1990) 209-229.
    • (1990) Ergodic Theory Dynam. Systems , vol.10 , pp. 209-229
    • Aharonov, D.1    Elias, U.2
  • 2
    • 0003119994 scopus 로고
    • Quasirandom dynamical systems. II. One-dimensional nonlinear oscillations in a field with periodic perturbation
    • V. M. ALEKSEEV, 'Quasirandom dynamical systems. II. One-dimensional nonlinear oscillations in a field with periodic perturbation', Math. USSR-Sb. 6 (1968) 505-560.
    • (1968) Math. USSR-Sb. , vol.6 , pp. 505-560
    • Alekseev, V.M.1
  • 3
    • 0001338146 scopus 로고    scopus 로고
    • Unbounded solutions of semilinear equations at resonance
    • J. M. ALONSO and R. ORTEGA, 'Unbounded solutions of semilinear equations at resonance', Nonlinearity 9 (1996) 1099-1111.
    • (1996) Nonlinearity , vol.9 , pp. 1099-1111
    • Alonso, J.M.1    Ortega, R.2
  • 6
    • 0000652097 scopus 로고
    • Sur les courbes invariantes par les difféomorphismes de l'anneau I
    • M. HERMAN, 'Sur les courbes invariantes par les difféomorphismes de l'anneau I', Astérisque 103-104 (1983).
    • (1983) Astérisque , pp. 103-104
    • Herman, M.1
  • 7
    • 84972048648 scopus 로고
    • Invariant curves and time-dependent potentials
    • S. LAEDERICH and M. LEVI, 'Invariant curves and time-dependent potentials', Ergodic Theory Dynam. Systems 11 (1991) 365-378.
    • (1991) Ergodic Theory Dynam. Systems , vol.11 , pp. 365-378
    • Laederich, S.1    Levi, M.2
  • 8
    • 34250489582 scopus 로고
    • Bounded perturbations of forced harmonic oscillators at resonance
    • A. C. LAZER and D. E. LEACH, 'Bounded perturbations of forced harmonic oscillators at resonance', Ann. Mat. Pura Appl. 82 (1969) 49-68.
    • (1969) Ann. Mat. Pura Appl. , vol.82 , pp. 49-68
    • Lazer, A.C.1    Leach, D.E.2
  • 9
    • 0002232775 scopus 로고
    • Quasiperiodic motions in superquadratic time-periodic potentials
    • M. LEVI, 'Quasiperiodic motions in superquadratic time-periodic potentials', Comm. Math. Phys. 143 (1991) 43-83.
    • (1991) Comm. Math. Phys. , vol.143 , pp. 43-83
    • Levi, M.1
  • 10
    • 0040068955 scopus 로고
    • On Littlewood's counterexample on unbounded motion in superquadratic potentials
    • ed. C. K. R. T. Jones, U. Kirchgraber, and H. O. Walther, Springer, Berlin
    • M. LEVI, 'On Littlewood's counterexample on unbounded motion in superquadratic potentials', Dynamics Reported I (ed. C. K. R. T. Jones, U. Kirchgraber, and H. O. Walther, Springer, Berlin, 1992) 113-124.
    • (1992) Dynamics Reported , vol.1 , pp. 113-124
    • Levi, M.1
  • 11
    • 84962994493 scopus 로고
    • Unbounded solutions of ÿ + g(y) = p(t)
    • J. E. LITTLEWOOD, 'Unbounded solutions of ÿ + g(y) = p(t)'. J. London Math. Soc. 41 (1966) 491-496.
    • (1966) J. London Math. Soc. , vol.41 , pp. 491-496
    • Littlewood, J.E.1
  • 12
    • 0004381890 scopus 로고
    • Unbounded solutions of an equation ÿ + g(y) = p(t), with p(t) periodic and bounded and g(y)/y → ∞ as y → ± ∞
    • J. E. LITTLEWOOD, 'Unbounded solutions of an equation ÿ + g(y) = p(t), with p(t) periodic and bounded and g(y)/y → ∞ as y → ± ∞', J. London Math. Soc. 41 (1966) 497-507.
    • (1966) J. London Math. Soc. , vol.41 , pp. 497-507
    • Littlewood, J.E.1
  • 13
    • 84950381295 scopus 로고
    • An unbounded solution of a superlinear Duffing's equation
    • Y. LONG, 'An unbounded solution of a superlinear Duffing's equation', Acta Math. Sinica 7 (1991) 360-369.
    • (1991) Acta Math. Sinica , vol.7 , pp. 360-369
    • Long, Y.1
  • 14
    • 0013292320 scopus 로고
    • Branching phenomena for periodic solutions of non-autonomous piecewise linear systems
    • W. S. LOUD, 'Branching phenomena for periodic solutions of non-autonomous piecewise linear systems', Internat. J. Non-Linear Mech. 3 (1968) 273-293.
    • (1968) Internat. J. Non-Linear Mech. , vol.3 , pp. 273-293
    • Loud, W.S.1
  • 15
    • 0002609687 scopus 로고
    • A case of boundedness in Littlewood's problem on oscillatory differential equations
    • G. R. MORRIS, 'A case of boundedness in Littlewood's problem on oscillatory differential equations', Bull. Austral. Math. Soc. 14 (1976) 71-93.
    • (1976) Bull. Austral. Math. Soc. , vol.14 , pp. 71-93
    • Morris, G.R.1
  • 16
    • 0001851184 scopus 로고
    • On invariant curves of area-preserving mappings of an annulus
    • J. MOSER, 'On invariant curves of area-preserving mappings of an annulus', Nachr. Akad. Wiss. Göttingen Math. Phys. Kl. IIa (1962) 1-20.
    • (1962) Nachr. Akad. Wiss. Göttingen Math. Phys. Kl. , vol.2 A , pp. 1-20
    • Moser, J.1
  • 17
    • 84962980391 scopus 로고
    • Boundedness in periodically forced second order conservative systems
    • J. W. NORRIS, 'Boundedness in periodically forced second order conservative systems', J. London Math. Soc. (2) 45 (1992) 97-112.
    • (1992) J. London Math. Soc. , vol.45 , Issue.2 , pp. 97-112
    • Norris, J.W.1
  • 18
    • 0001488662 scopus 로고    scopus 로고
    • Asymmetric oscillators and twist mappings
    • R. ORTEGA, 'Asymmetric oscillators and twist mappings', J. London Math. Soc. (2) 53 (1996) 325-342.
    • (1996) J. London Math. Soc. , vol.53 , Issue.2 , pp. 325-342
    • Ortega, R.1
  • 19
    • 0038862302 scopus 로고    scopus 로고
    • Nonexistence of invariant curves of mappings with small twist
    • R. ORTEGA, 'Nonexistence of invariant curves of mappings with small twist', Nonlinearity 10 (1997) 195-197.
    • (1997) Nonlinearity , vol.10 , pp. 195-197
    • Ortega, R.1
  • 20
    • 0002739213 scopus 로고
    • Aubry-Mather sets for finite-twist maps of a cylinder and semilinear Duffing equation
    • M. PEI, 'Aubry-Mather sets for finite-twist maps of a cylinder and semilinear Duffing equation', J. Differential Equations 113 (1994) 106-127.
    • (1994) J. Differential Equations , vol.113 , pp. 106-127
    • Pei, M.1
  • 21
    • 21344470830 scopus 로고    scopus 로고
    • Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
    • C. REBELO and F. ZANOLIN, 'Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities', Trans. Amer. Math. Soc. 348 (1996) 2349-2389.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 2349-2389
    • Rebelo, C.1    Zanolin, F.2
  • 22
    • 0040251264 scopus 로고
    • Resonance in undamped second-order nonlinear equations with periodic forcing
    • G. SEIFERT, 'Resonance in undamped second-order nonlinear equations with periodic forcing', Quart. Appl. Math. 48 (1990) 527-530.
    • (1990) Quart. Appl. Math. , vol.48 , pp. 527-530
    • Seifert, G.1
  • 25
    • 0003112318 scopus 로고
    • Stability of degenerate fixed points of analytic area preserving mappings
    • C. SIMÓ, 'Stability of degenerate fixed points of analytic area preserving mappings', Astérisque 98-99 (1982) 184-194.
    • (1982) Astérisque , vol.98-99 , pp. 184-194
    • Simó, C.1


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