摘要
介绍了与非线性随机动力学研究密切相关的几类胞映射方法的研究和进展,主要有广义胞映射图方法、基于短时高斯逼近的胞映射方法、并行胞映射方法等.简述了胞映射方法在随机动力学中的应用情况,重点关注随机响应、分岔、离出和碰撞振动系统.给出了胞映射方法面临的挑战,以及未来研究可能的发展方向.
This paper introduces the development of several cell mapping methods closely associated with nonlinear stochastic dynamical systems, including generalized cell mapping method with digraph, cell mapping method based on short-time Gaussian approximation, parallel cell mapping method etc. The applications of cell mapping method in stochastic dynamical systems are also shown, focusing on stochastic response,bifurcation,exit and vibro-impact system. Finally, some challenges and possible future researches about cell mapping method are presented.
作者
徐伟
岳晓乐
韩群
Xu Wei Yue Xiaole Han Qun(Department of Applied Mathematics, Northwestern Polytechnical University, Xi＇an 710072, China College of Science, Hnazhong Agricultural University, Wuhan 430070, China)
出处
《动力学与控制学报》
2017年第3期200-208,共9页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11472212
11672230)~~
关键词
胞映射方法
并行算法
离出
短时高斯逼近
cell mapping method, parallel algorithm, exit, short-time Gaussian approximation
作者简介
通讯作者，E-mail：weixu@nwpu．Edu．Cn
