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Volumn 9, Issue 3, 1996, Pages 669-685

Existence and stability of singular heteroclinic orbits for the Ginzburg-Landau equation

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EID: 0001969945     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/3/004     Document Type: Article
Times cited : (27)

References (28)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability of travelling waves
    • Alexander J and Gardner R and Jones C K R T 1990 A topological invariant arising in the stability of travelling waves J. Reine Angew Math. 410 167-212
    • (1990) J. Reine Angew Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.K.R.T.3
  • 3
    • 0000484304 scopus 로고
    • The time-dependent amplitude equation for the Swift-Hohenberg problem
    • Collet P and Eckmann J-P 1990 The time-dependent amplitude equation for the Swift-Hohenberg problem Commun. Math. Phys. 132 139-53
    • (1990) Commun. Math. Phys. , vol.132 , pp. 139-153
    • Collet, P.1    Eckmann, J.-P.2
  • 4
    • 0040359126 scopus 로고
    • Solutions without phase-slip for the Ginzburg-Landau equation
    • Collet P and Eckmann J-P 1992 Solutions without phase-slip for the Ginzburg-Landau equation Commun. Math. Phys. 145 345-56
    • (1992) Commun. Math. Phys. , vol.145 , pp. 345-356
    • Collet, P.1    Eckmann, J.-P.2
  • 5
    • 0040953231 scopus 로고
    • Diffusive repair for the Ginzburg-Landau equation
    • Collet P and Eckmann J-P and Epstein H 1992 Diffusive repair for the Ginzburg-Landau equation Helv. Phys. Acta 65 56-92
    • (1992) Helv. Phys. Acta , vol.65 , pp. 56-92
    • Collet, P.1    Eckmann, J.-P.2    Epstein, H.3
  • 7
    • 0001722258 scopus 로고
    • On modulation equations of the Ginzburg-Landau type
    • ed R E O'Malley
    • Eckhaus W 1992 On modulation equations of the Ginzburg-Landau type ICIAM 91: Proc. 2nd Int. Conf. Ind. Appl. Math, ed R E O'Malley p 83-98
    • (1992) ICIAM 91: Proc. 2nd Int. Conf. Ind. Appl. Math , pp. 83-98
    • Eckhaus, W.1
  • 8
    • 21144465106 scopus 로고
    • Front solutions for the Ginzburg-Landau equation
    • Eckmann J-P and Gallay T 1993 Front solutions for the Ginzburg-Landau equation Commun. Math. Phys. 152 221-48
    • (1993) Commun. Math. Phys. , vol.152 , pp. 221-248
    • Eckmann, J.-P.1    Gallay, T.2
  • 9
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • Fenichel N 1973 Persistence and smoothness of invariant manifolds for flows Indiana U. Math. J. 21 193-226
    • (1973) Indiana U. Math. J. , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 10
    • 0000417983 scopus 로고
    • Travelling waves of a perturbed diffusion equation arising in a phase field model
    • Gardner R and Jones C K R T 1989 Travelling waves of a perturbed diffusion equation arising in a phase field model Indiana U. Math. J. 38 1197-222
    • (1989) Indiana U. Math. J. , vol.38 , pp. 1197-1222
    • Gardner, R.1    Jones, C.K.R.T.2
  • 11
    • 0001545279 scopus 로고
    • On the validity of the Ginzburg-Landau equation
    • Van Harten A 1991 On the validity of the Ginzburg-Landau equation J. Nonlinear Sc. 1 397-422
    • (1991) J. Nonlinear Sc. , vol.1 , pp. 397-422
    • Van Harten, A.1
  • 12
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Berlin: Springer
    • Henry D 1981 Geometric theory of semilinear parabolic equations Lecture Notes in Mathematics 840 (Berlin: Springer)
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 14
    • 0017449556 scopus 로고
    • Slowly varying waves and shock structures in reaction-diffusion equations
    • Howard L N and Kopell N 1977 Slowly varying waves and shock structures in reaction-diffusion equations Stud. Appl. Math. 56 95-145
    • (1977) Stud. Appl. Math. , vol.56 , pp. 95-145
    • Howard, L.N.1    Kopell, N.2
  • 15
    • 84967743294 scopus 로고
    • Stability of the travelling wave solutions of the Fitzhugh-Nagumo system
    • Jones C K R T 1984 Stability of the travelling wave solutions of the Fitzhugh-Nagumo system Trans. AMS 286 431-69
    • (1984) Trans. AMS , vol.286 , pp. 431-469
    • Jones, C.K.R.T.1
  • 16
    • 84990556253 scopus 로고
    • Stability of travelling waves for non-convex scalar conservation laws
    • Jones C K R T and Gardner R and Kapitula T 1993 Stability of travelling waves for non-convex scalar conservation laws Commun. Pure Appl. Math. 46 505-26
    • (1993) Commun. Pure Appl. Math. , vol.46 , pp. 505-526
    • Jones, C.K.R.T.1    Gardner, R.2    Kapitula, T.3
  • 17
    • 0001758791 scopus 로고
    • Stability of weak shocks in λ - ω systems
    • Kapitula T 1991 Stability of weak shocks in λ - ω systems Indiana U. Math. J. 40 1193-219
    • (1991) Indiana U. Math. J. , vol.40 , pp. 1193-1219
    • Kapitula, T.1
  • 18
    • 84990652766 scopus 로고
    • On the nonlinear stability of plane waves for the Ginzburg-Landau equation
    • Kapitula T 1994 On the nonlinear stability of plane waves for the Ginzburg-Landau equation Commun. Pure Appl. Math. 47 831-41
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 831-841
    • Kapitula, T.1
  • 20
    • 0001898223 scopus 로고
    • Singular heteroclinic orbits for degenerate modulation equations
    • Kapitula T 1995 Singular heteroclinic orbits for degenerate modulation equations Physica D 82 36-59
    • (1995) Physica D , vol.82 , pp. 36-59
    • Kapitula, T.1
  • 21
    • 34250115323 scopus 로고
    • Asymptotic stability of travelling wave solutions of systems for one-dimensional gas motion
    • Kawashima S and Matsumura A 1985 Asymptotic stability of travelling wave solutions of systems for one-dimensional gas motion Commun. Math. Phys. 101 97-127
    • (1985) Commun. Math. Phys. , vol.101 , pp. 97-127
    • Kawashima, S.1    Matsumura, A.2
  • 22
    • 84968504658 scopus 로고
    • Nonlinear stability of shock waves for viscous conservation laws
    • Liu T-P 1985 Nonlinear stability of shock waves for viscous conservation laws Memo. Am. Math. Soc. 328
    • (1985) Memo. Am. Math. Soc. , vol.328
    • Liu, T.-P.1
  • 23
    • 0000454926 scopus 로고
    • Attractors for modulation equations on unbounded domains - Existence and comparison
    • Mielke A and Schneider G 1995 Attractors for modulation equations on unbounded domains - existence and comparison Nonlinearity 8 743-68
    • (1995) Nonlinearity , vol.8 , pp. 743-768
    • Mielke, A.1    Schneider, G.2
  • 24
    • 0003353961 scopus 로고
    • Characteristic classes
    • Princeton, NJ: Princeton University Press
    • Milnor J and Stasheff J 1974 Characteristic classes Ann. of Math. Stud. 76 (Princeton, NJ: Princeton University Press)
    • (1974) Ann. of Math. Stud. 76
    • Milnor, J.1    Stasheff, J.2
  • 25
    • 0040553562 scopus 로고
    • Asymptotic stability of travelling waves
    • ed H Leipholz (Berlin: Springer)
    • Peletier A 1971 Asymptotic stability of travelling waves Instability of Continuous Systems ed H Leipholz (Berlin: Springer) pp 418-22
    • (1971) Instability of Continuous Systems , pp. 418-422
    • Peletier, A.1
  • 26
    • 0000814275 scopus 로고
    • On the stability of waves of nonlinear parabolic systems
    • Sattinger D H 1976 On the stability of waves of nonlinear parabolic systems Adv. Math. 22 312-55
    • (1976) Adv. Math. , vol.22 , pp. 312-355
    • Sattinger, D.H.1
  • 27
    • 0001656215 scopus 로고
    • Error estimates for the Ginzburg-Landau approximation
    • Schneider G 1994 Error estimates for the Ginzburg-Landau approximation Z Angew Math. Phys. 45 433-57
    • (1994) Z Angew Math. Phys. , vol.45 , pp. 433-457
    • Schneider, G.1
  • 28
    • 21344476138 scopus 로고
    • Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations
    • Schneider G 1994 Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations Commun. Math. Phys. 164 157-79
    • (1994) Commun. Math. Phys. , vol.164 , pp. 157-179
    • Schneider, G.1


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