有界噪声激励下非线性系统的全局动力学研究

项目名称： 有界噪声激励下非线性系统的全局动力学研究

项目编号： No.10872165

项目类型： 面上项目

立项/批准年度： 2009

项目学科： 金属学与金属工艺

项目作者： 徐伟

作者单位： 西北工业大学

项目金额： 37万元

中文摘要： 通过三年的努力和系统研究, 按照申请书的研究思路和技术路线，顺利完成了预定的研究计划。通过对有界噪声激励下非线性系统的全局动力学分析，取得了一系列成果，主要在如下几个方面取得进展：有界噪声激励下非光滑系统中的随机分叉与混沌研究；有界噪声激励下时滞系统中的非线性动力学分析；广义图胞映射方法有效计算方法的研究；有界噪声激励下典型非线性系统分析和研究、随机共振机理的研究以及含有界随机激励参数结构的非线性系统的随机响应、分岔与混沌的研究。 本项目在Physica D、Physical Review E、International Journal of Non-Linear Mechanics、Physics Letters A、International Journal of Bifurcation and Chaos以及国内中国科学、物理学报等国际和国内著名杂志发表论文39篇。

中文关键词： 有界噪声；全局分析；非线性系统

英文摘要： After three years' effort and systematic study, the scheduled research program is successfully accomplished in accordance with the idea and technology stated in the application. A series of achievements are obtained for the global dynamic analysis of nonlinear system under bounded noise excitation, and the primary progresse lies in: the investigation of stochastic bifurcation and chaos of nonlinear system excited by bounded noise, the nonlinear dynamic analysis of time-delay system excited by bounded noise, the investigation of effective computation method of the generalized diagraph cell mapping method, the analysis and investigation of typical nonlinear system excited by bounded noise, the study of the mechanism of stochastic resonance and the research of response、 bifurcation and chaos of nonlinear system parametrically excited by bounded stochastic stimulation. Specifically, 39 scientific papers has been published on famous international and domestic journals including Physica D、 Physical Review E、 International Journal of Non-Linear Mechanics、 Physics Letters A、International Journal of Bifurcation and Chaos、 SCIENCE CHINA and Acta Physica Sinica

英文关键词： bounded noise；global analysis；nonlinear system