A Shil'nikov's theorem in R4 in an extended neighborhood of a saddle point of focus - focus type

• Maturana, Ana María ^[1]
  1. [1] Universidad Técnica Federico Santa María.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 15, Nº. 1, 1996, págs. 29-45
• Idioma: inglés
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• Resumen

  • In this article we study the existence of chaotic solutions in a neighborhood of a homoclinic orbit of a saddle point of focus-focus type. We will prove that the solutions have an exponential expansion, this fact implies the existence of a subsystem of solutions, which is in one-to-one correspondence with the set of doubly infinite sequences.