双曲性 meaning in Chinese

hyperbolicity

We define a type of hyperbolicity on the full measure invariant set which is given by the oseledec ' s multiplicative ergodic theorem and prove that the system has the lipschitz shadowing property on it
对于由oseledec乘法遍历定理得到的满测度( fullmeasure )不变集定义了双曲性，并证明了系统在这个不变集上具有lipschitz跟踪性。
In the second part of the thesis , we consider a one - dimensional dynamical system with only one discontinuous - critical point and prove that the set of periodic points is uniform hyperbolic if such a map is globally expanding . han shuguang ( dynamic system & ergodic theory ) directed by prof . cao yongluo
本文第二部分对具有唯一临界间断点的一维映射的动力学性质进行了探讨，利用最大单调区间的办法，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。
In the first part of the thesis , we study two one - dimensional dynamical systems with negative schwarzian derivative . by using the non - existence of attractive periodic orbits and wandering intervals , a theorem is obtained that the forward invariant compact sets of the two dynamical systems are uniform hyperbolic
本文第一部分主要考虑两类具有负schwarz导数的单峰映射的动力学性质，利用吸引周期轨道和游荡区间的不存在性等，证明了其正向不变紧集的一致双曲性。