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Volumn 190, Issue 1, 1997, Pages 173-211

Geometric stability analysis for periodic solutions of the Swift-Hohenberg equation

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EID: 0031325061     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050238     Document Type: Article
Times cited : (27)

References (17)
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  • 3
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    • Renormalization group and asymptotics of solutions
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    • Bricmont, J.1    Kupiainen, A.2    Lin, G.3
  • 6
    • 0040953231 scopus 로고
    • Diffusive repair for the Ginzburg-Landau equation
    • Collet, P., Eckmann, J.-P., and Epstein, H.: Diffusive repair for the Ginzburg-Landau equation. Helv. Phys. Acta 65, 56-92 (1992)
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    • Collet, P.1    Eckmann, J.-P.2    Epstein, H.3
  • 7
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    • Bifurcation from simple eigenvalues
    • Crandall, M. and Rabinowitz, P.: Bifurcation from simple eigenvalues. J. Funct. Analysis 8, 321-340 (1971)
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    • Crandall, M.1    Rabinowitz, P.2
  • 8
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    • Studies in non-linear stability theory
    • Berlin, Heidelberg, New York: Springer.
    • Eckhaus, W.: Studies in non-linear stability theory. Springer tracts in Nat. Phil. 6, Berlin, Heidelberg, New York: Springer. (1965)
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  • 9
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    • Propagating fronts and the center manifold theorem
    • Eckmann, J.-P. and Wayne, C.E.: Propagating Fronts and the Center Manifold Theorem. Commun. Math. Phys. 136, 285-307 (1991)
    • (1991) Commun. Math. Phys. , vol.136 , pp. 285-307
    • Eckmann, J.-P.1    Wayne, C.E.2
  • 10
    • 21144468600 scopus 로고
    • A center-stable manifold theorem for differential equations in Banach spaces
    • Gallay, Th.: A center-stable manifold theorem for differential equations in Banach spaces. Commun. Math. Phys. 152, 249-268 (1993)
    • (1993) Commun. Math. Phys. , vol.152 , pp. 249-268
    • Gallay, Th.1
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    • Geometric theory of semilinear parabolic equations
    • New York: Springer-Verlag
    • Henry, D.: Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics 840, New York: Springer-Verlag 1981
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  • 13
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  • 14
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    • A new approach to sideband-instabilities using the principle
    • Doelman, A., van Harten, A., eds. UK: Longman
    • Mielke, A.: A new approach to sideband-instabilities using the principle. In: Nonlinear Dynamics and Pattern Formation in the Natural. Doelman, A., van Harten, A., eds. UK: Longman 1995, pp. 206-222
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    • Mielke, A.1
  • 15
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    • Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation
    • Schneider, G.: Diffusive stability of spatial periodic solutions of the Swift-Hohenberg Equation. Commun. Math. Phys. 178, 679-702 (1996)
    • (1996) Commun. Math. Phys. , vol.178 , pp. 679-702
    • Schneider, G.1
  • 16
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    • Invariant manifolds for parabolic partial differential
    • To appear
    • Wayne, C.E.: Invariant manifolds for parabolic partial differential. Arch. Rat. Mech., To appear
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.