Abstract
We study conditions under which a unique periodic orbit is generated from a heteroclinic contour when we add an autonomous perturbation to parabolic equations and to retarded differential equation.
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Bibliography
C.M. Blázquez., Bufurcation from a homoclinic orbit in parabolic differential equation. Proc. of the Royal Soc. of Edim., 103A, (1986).
C.M. Blázquez, E. Tuma., On the generalization of a periodic orbit from a homoclinic in parabolic differential equations. Preprint.
S.M. Chow, B. Deng., Homoclinic and heteroclinic bifurcations in Banach spaces. Preprint.
S.M. Chow, J.K. Hale, J. Mallet-Paret., An example of bifurcation to homoclinic orbits. J. Diff. Eqns. 37. (1980).
J.K. Hale, X.B. Lin., Heteroclinic orbits for retarded functional differential equations. L.C.D.S., Brown Univ. 84–39 (1984).
J.K. Hale., Theory of Functional Differential Equations. Springer-Verlag. (1977).
D. Henry., Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Maths. 840. Berlin, Springer-Verlag. (1981).
V.K. Melnikov., On the stability of the center for time periodic perturbations. Trans. Moscow Math. Soc. 12 (1). (1964).
L.P. Silnikov., On the generation of a periodic motion from trajectories doubly asymptotic to an equilibrium state of saddle type. Mat. Sbornik. Tom 77 (119) # 3. (1968).
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© 1988 Springer-Verlag
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Blázquez, M., Tuma, E. (1988). Hereroclinic bifurcation in banach spaces. In: Bamón, R., Labarca, R., Palis, J. (eds) Dynamical Systems Valparaiso 1986. Lecture Notes in Mathematics, vol 1331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083063
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DOI: https://doi.org/10.1007/BFb0083063
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