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