Dimension-like characteristics of motions in dynamical systems

讲座名称: Dimension-like characteristics of motions in dynamical systems
讲座时间: 2014-07-28
讲座人: Valentin Afraimovich
形式:
校区: 兴庆校区
实践学分:
讲座内容: 应航天航空学院强度与振动国家重点实验室邀请,墨西哥IICO Universidad Autónoma de San Luis Potosí大学的苏联-俄罗斯-墨西哥数学家Valentin Afraimovich教授和美国南伊利诺伊州州立大学大学Albert C. J. Luo教授将来我校进行学术交流并就他们在非线性动力学与控制学科前沿领域的最新研究成果以及相关领域国际发展动态做两次学术报告. 学术报告安排如下: 题 目 一:Dimension-like characteristics of motions in dynamical systems 报告时间:2014年7月28日(星期一)上午9:30—11:30 报告地点:航天学院第2会议室 讲座人:Valentin Afraimovich Abstract: There is a way to study behavior in time of representative points on trajectories of dynamical systems. It is based on the application of the Caratheodory-Peni construction to some quantities reflecting different features of temporal behavior. We describe the spectrum of dimensions for Poincare recurrences with the application of the problem of synchronization of chaotic oscillations and the spectrum of dimensions of escape times.
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