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Shilnikov type solutions under strong non-autonomous perturbation

Published online by Cambridge University Press:  17 April 2009

Elías Tuma
Elías Tuma
Affiliation:
Department of Mathematics, Santa Maria University, PO Box 110-V, Valparaiso, Chile e-mail: elias.tuma@usm.cl
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We study the behaviour of solutions in a neighbourhood of the origin for a certain type of non-autonomous system of partial differential equations whose linear approximation is non autonomous.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 315 - 325
Copyright
Copyright © Australian Mathematical Society 2005

References

[1]Blázquez, M. and Tuma, E., ‘Bifurcation from homoclinic orbits to saddle-saddle point in Banach space’, World Sci. Ser. Appl. Anal. 4 (1995), 91–99.Google Scholar
[2]Blázquez, M. and Tuma, E., ‘Shil'nikov's type solutions under non linear non autonomous pertubation’, Proyecciones 15 (1996), 101–110.CrossRefGoogle Scholar
[3]Deng, B., ‘Exponential expansion with Shil'nikov's saddle focus’, J. Differential Equations 82 (1989), 156–173.CrossRefGoogle Scholar
[4]Henry, D., Geometric Theory of semi linear parabolic equations, Lectures Notes 840 (Springer-Verlag, Berlin, Heidelberg, New York, 1981).CrossRefGoogle Scholar
[5]Shil'nikov's, L.P., ‘A contribution to the problem of the structure of an extended neigbourhood of a rough equilibrium state of saddle-focus type’, Math. Sbornik 10 (1970), 90–102.Google Scholar