一个具有临界间断点的一维映射的动力学性质

On one dynamical property of one-dimensional dynamical systems with one discontinuous-critical point

对具有临界间断点的一维映射的动力学性质进行了探讨,由映射的整体扩张性证明了映射的周期点集的一致双曲性.

To onedimensional dynamical systems with one discontinuouscritical point,we prove that if such a map is globally expanding,then the set of periodic points is uniform hyperbolic.