Axiom a maps

In this paper we prove C k structural stability conjecture for unimodal maps. In other words, we shall prove that Axiom A maps are dense in the space of C k unimodal maps in the C k topology. Here k can be 1, 2, . . . , ∞, ω. 1. Introduction 1.1. The structural stability conjecture. The structural stability conjecture was and remains one of the most interesting and important open problems in the theory of dynamical systems. This conjecture states that a dynamical system is structurally stable if and only if it satisfies Axiom A and the...

44p tuanloccuoi 04-01-2013 56 6   Download