A Shil'nikov's theorem in an extended neighborhood of a saddle point of focus - focus type in banach spaces

Authors

  • Ana María Maturana Universidad Técnica Federico Santa María.

DOI:

https://doi.org/10.22199/S07160917.1997.0002.00005

Abstract

In this work, we will study the existence of chaotic solutions in an extended neighborhood of a homoclinic orbit for a kind of evolutions equations in Banach spaces of infinite dimension. First, we will prove that the solutions admit an exponential expansion and then we will imply the existence of a subsystem of solutions which is in one-to-one correspondence with the set of doubly infinite sequences.

Author Biography

Ana María Maturana, Universidad Técnica Federico Santa María.

Departamento de Matemáticas.

References

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[10] Shil'nikov, L.P. "The existence of a denumerable set of Periodic Motions in four-dimensional space in an extended neighborhood of a Saddle-Focus". Soviet Math. Doklady Vol. 8, No. 1, MR 35 # 1872, pp. 54-58, (1967).

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Published

2018-04-04

How to Cite

[1]
A. M. Maturana, “A Shil’nikov’s theorem in an extended neighborhood of a saddle point of focus - focus type in banach spaces”, Proyecciones (Antofagasta, On line), vol. 16, no. 2, pp. 157-180, Apr. 2018.

Issue

Section

Artículos