ergodic theory meaning in English
遍历理论
脯历经理论
各态历经理论
Examples
- As an application of the ergodic theory , we discuss the method of calculating a type of limits
摘要作为遍历理论的应用，讨论一类极限的求法。 - Simulation results show that it is effectiveness and the synchronization technique is robust . using quasi - stochastic property and ergodic theory of chaos , a kind of new hybrid ds / sfh spread spectrum communication scheme is presented based on vss synchronization technique
在变结构混沌同步方法的基础上，利用混沌系统的遍历性和伪随机性，提出了一种新的保密性很强的混合ds sfh扩频通信系统设计方案。 - 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。 - Nonlinear operator theorem is now a focus in nonlinear theorem . the study of the ergodic theory for semitopologocal semigroups of nonlinear operators began in the middle of 1970 ' s . it got great development because it was widely used in many problems , such as the numerical solution of differentiable equation , the existence theory of positive solution , contral theory and optimization
非线性算子理论是非线性理论中的热门话题，它的研究始于上世纪七十年代中期，由于它被广泛的应用于微分方程的数值解、正解的存在性理论、控制论以及最优化等问题中，因而得到了很大的发展。 - Chapter 2 of this paper , by using a new method of proof , we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space . by theorem 2 . 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space . by this method of proof , we give the weak ergodic convergence theorems for right reversible semigroups . by theorem 2 . 1 of chapter l , we generalize the result to almost orbit case . so we can remove a key supposition that almost orbit is almost asymptotically isometric . it includes all commutative semigroups cases . baillon [ 8 ] , hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups . recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups . hirano and kido and takahashi [ 11 ] , hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm . . in 1997 , li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex , which greatly extended the fields of applications of ergodic theory . chapter 2 of this paper , we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces . and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年来， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范数的一致凸banach空间中给出了非扩张及渐近非扩张映射及半群的遍历收敛定理。 li和ma [ 13 ]在具frechet可微范数的自反banach空间中给出了一般交换渐近非扩张型拓扑半群的遍历收敛定理，这是一个重大突破。本文第二章用一种新的证明方法在自反banach空间中，研究了扬州大学硕士学位论文2一般半群上的( r )类渐近非扩张型半群的弱遍历收敛定理，即:定理3 . 1设x是具性质( f )的实自反banach空间， c是x的非空有界闭凸子集， g为含单位元的一般半群， s =仕工， 。