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Saddle connections in parabolic differential equations

  • Blázquez, C. Miguel [1] ; Tuma, Elías
    1. [1] Universidad Técnica Federico Santa María.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 1, 1994, págs. 25-34
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1994.0001.00005
  • Enlaces
  • Resumen
    • We assume the existence of a saddle connection between two hyperbolic equilibrium points. Necessary and sufficient conditzons are given for the existence of a connection for the perturbed equations. These connections are obtained from the zeros of a finite number of bifurcation functions.

  • Referencias bibliográficas
    • Citas [1] C. M. Blázquez, E. Turna Heteroclinic bifurcation in Banach spaces Lectures NoteS in Mathematics 1331(1988),12-38.
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    • [3] C. M. Blázquez Bifurcation frorn a homoclinic orbit in parabolic differential equations Proc. Roy. Soc. Edin.103A (1986), 26.5-274.
    • [4] S . M. Chow, B. Deng Homoclinic and heteroclinic bifurcations in Banach spaces Preprint. Michigan State University
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    • [6] A. Friedman Hold, Rinehart and Winston 1969. Partial differential equation.
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    • [10] X. B. Liu Exponential dichotomies and homoclinic orbit in retarded Functional Differential Equations LCDS Report 8439 Brown University....
    • [11] A. Pazy Semigroups of linear operators and applications to partial differential equations Appl. Math. Se.. 44, Springer Verlag ( 1983)
    • [12] L. P. Sil'nikov 119 On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle...

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