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

Ana María Maturana

• 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.