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Zeitschrift fur Angewandte Mathematik und Physik
Volumn 47, Issue 2, 1996, Pages 265-305
Spatial dynamics of time periodic solutions for the Ginzburg-Landau equation
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EID: 0000127722     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00916827     Document Type: Article
Times cited : (18)
References (14)
  • 1
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    • (1993) Z. Angew Math. Phys. , vol.44 , pp. 189-200
    • Alexander, J.1    Jones, C.K.R.T.2
  • 2
    • 84961472729 scopus 로고
    • Existence and stability of asymptotically oscillatory double pulses
    • J. Alexander and C. K. R. T. Jones, Existence and stability of asymptotically oscillatory double pulses. J. reine angew. Math., 446, 49-79 (1994).
    • (1994) J. Reine Angew. Math. , vol.446 , pp. 49-79
    • Alexander, J.1    Jones, C.K.R.T.2
  • 4
    • 51249170613 scopus 로고
    • Travelling waves in the complex Ginzburg-Landau equation
    • A. Doelman, Travelling waves in the complex Ginzburg-Landau equation. J. Nonlinear Science, 3, 225-266 (1993).
    • (1993) J. Nonlinear Science , vol.3 , pp. 225-266
    • Doelman, A.1
  • 5
    • 0001477332 scopus 로고
    • Double impulse solutions in nerve axon equations
    • J. Evans, N. Fenichel and J. Feroe, Double impulse solutions in nerve axon equations. SIAM J. Appl. Math., 42 (2), 219-234 (1982).
    • (1982) SIAM J. Appl. Math. , vol.42 , Issue.2 , pp. 219-234
    • Evans, J.1    Fenichel, N.2    Feroe, J.3
  • 6
    • 0012277667 scopus 로고
    • Existence and stability of multiple impulse solutions of a nerve equation
    • J. Feroe, Existence and stability of multiple impulse solutions of a nerve equation. SIAM J. Appl. Math., 42 (2), 235-246 (1982).
    • (1982) SIAM J. Appl. Math. , vol.42 , Issue.2 , pp. 235-246
    • Feroe, J.1
  • 7
    • 0000273393 scopus 로고
    • On the nonlinear response of a marginally unstable plane parallel flow to a two dimensional disturbance
    • L. M. Hocking and K. Stewartson, On the nonlinear response of a marginally unstable plane parallel flow to a two dimensional disturbance. Proc. Roy. Soc. Lond. A, 326, 289-313 (1972).
    • (1972) Proc. Roy. Soc. Lond. A , vol.326 , pp. 289-313
    • Hocking, L.M.1    Stewartson, K.2
  • 8
    • 0002436447 scopus 로고
    • Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
    • P. Holmes, Spatial structure of time-periodic solutions of the Ginzburg-Landau equation. Physica D, 23, 84-90 (1986).
    • (1986) Physica D , vol.23 , pp. 84-90
    • Holmes, P.1
  • 9
    • 84972202433 scopus 로고
    • Nearly real fronts in a Ginzburg-Landau equation
    • C. K. R. T. Jones, T. Kapitula and J. Powell, Nearly real fronts in a Ginzburg-Landau equation. Proc. Roy. Soc. Edin., 116A, 193-206 (1990).
    • (1990) Proc. Roy. Soc. Edin. , vol.116 A , pp. 193-206
    • Jones, C.K.R.T.1    Kapitula, T.2    Powell, J.3
  • 10
    • 0013141409 scopus 로고
    • Target patterns and horseshoes from a perturbed central-force problem: Some temporally periodic solutions to reaction-diffusion equations
    • N. Kopell and L. N. Howard, Target patterns and horseshoes from a perturbed central-force problem: some temporally periodic solutions to reaction-diffusion equations. Stud. Appl. Math., 64, 1-56 (1981).
    • (1981) Stud. Appl. Math. , vol.64 , pp. 1-56
    • Kopell, N.1    Howard, L.N.2
  • 11
    • 0023362582 scopus 로고
    • Solutions of the Ginzburg-Landau equation of interest in shear flow transition
    • M. Landman, Solutions of the Ginzburg-Landau equation of interest in shear flow transition. Stud. Appl. Math., 76, 187-237 (1987).
    • (1987) Stud. Appl. Math. , vol.76 , pp. 187-237
    • Landman, M.1
  • 12
    • 0038941327 scopus 로고
    • Periodic solutions of the Ginzburg-Landau equation
    • P. Newton and L. Sirovich, Periodic solutions of the Ginzburg-Landau equation. Physica D, 21, 115-125 (1986).
    • (1986) Physica D , vol.21 , pp. 115-125
    • Newton, P.1    Sirovich, L.2
  • 13
    • 0001234956 scopus 로고
    • A case of the existence of a denumerable set of periodic motions
    • L. Silnikov, A case of the existence of a denumerable set of periodic motions. Sov. Math. Dokl., 6, 163-166 (1965).
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  • 14
    • 0003272505 scopus 로고
    • Global bifurcations and chaos - Analytical methods
    • Springer-Verlag, New York
    • S. Wiggins, Global Bifurcations and Chaos - Analytical Methods. In Applied Mathematical Sciences 73. Springer-Verlag, New York 1988.
    • (1988) Applied Mathematical Sciences , pp. 73
    • Wiggins, S.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.