Continuous Maps of the Circle with Finitely Many Periodic Points
نویسنده
چکیده
Let f be a continuous map of the circle into itself . The main purpose of this paper is to study the properties of the unstable manifold associated to a periodic point of f . Let 2(f) denote the nonwandering set of f . Suppose f has finitely many periodic points . Then, using the unstable manifolds associated to periodic points of f, three theorems are proved providing complete answers to the following three questions : (1) Which are the possible periods of the periodic points of f? (2) Which is the value of the topological entropy of f? (3) If 2(f) is finite, which are the points of sl(f)?
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تاریخ انتشار 2006