报告题目： 不连续动力学系统的理论进展与应用

报 告 人： 罗朝俊(美国南伊利诺伊大学教授)

报告时间：2014年12月31日下午3:00

地    点： 七教D101, 丁字沽校区东院

报告简介：

 

The fundamental theory for complex phenomenons in flows of discontinuous dynamical systems, such as singularity, switchability, attractivity, passability to a specific boundary or edge will be introduced based on some important concepts including G-function, domain flow, boundary flow, edge flow, flow barriers, transport laws, bouncing flows, the edge and vertex dynamics, multi-valued vector fields and so on. The singularity and switchability of a flow in discontinuous dynamical systems can be associated with single or more boundaries. The edge dynamics and system interaction are also presented. The interaction of two dynamical systems is treated as a separation boundary, and such a boundary is time-varying. The system synchronization is discussed as an application of the interaction of two dynamical systems. As a practical  application, the analytical conditions for motion switchability on the switching boundary in a periodically forced, discontinuous system are developed through the G-function of the vector fields to the switching boundary.

 

The second illustration example is the discontinuous dynamics of a non-linear, friction-induced, periodically forced oscillator. The analytical conditions for motion switchability at the velocity boundary in such a nonlinear oscillator are developed to understand the motion switching mechanism. Using such analytical conditions of motion switching, numerical predictions of the switching scenarios varying with excitation frequency and amplitude are carried out, and the parameter maps for specific periodic motions are presented. Chaotic and periodic motions are illustrated through phase planes and switching sections for a better understanding of motion mechanism of the nonlinear friction oscillator. The periodic motions with switching in such a nonlinear, frictional oscillator cannot be obtained from the traditional analysis (e.g., perturbation and harmonic balance method).

 

Introduction to Albert Luo

罗朝俊， 美国南伊利诺伊大学爱德华兹维尔校区(SIUE)终身教授，非线性动力学系统理论与应用领域国际知名专家，《非线性物理科学》、《复杂现象的数学方法和建模》、《非线性系统和复杂性》、《复杂性，非线性和混沌》英文专著系列丛书主编。担任两个国际学术刊物的主编（Journal of Applied Nonlinear Dynamics，Communications in Nonlinear Science and Numerical Simulation）和两个国际学术刊物的副主编（Journal of  Discontinuity, Nonlinearity, and Complexity, ASME Journal of Computational and Nonlinear Dynamics）。

 

1998年在美国加州大学伯克利校区完成博士后研究，1995年于加拿大曼尼托巴大学（The University of Manitoba)获机械工程专业博士学位，1990-1991在香港城市大学做学术访问，1989年在大连理工大学获工程力学专业硕士学位。

主要从事非线性动力学系统的理论和应用研究，涉及连续动力学系统、不连续动力学系统和离散动力学系统等。

罗朝俊教授为国际非线性系统领域的知名专家，出版专著13部，发表期刊论文134篇，会议论文112篇。2004年获南伊利诺伊大学(SIUE)最具成就教授称号，2007年当选为美国机械工程师学会（ASME-American Society of Mechanical Engineers）会员，2008年获南伊利诺伊大学(SIUE) Paul Simon杰出学者奖。