报告题目：Chaos and subharmonic bifurcations of a soft Duffing oscillator with a non-smoothperiodic perturbation and harmonic excitation

报告人：周良强

工作单位：南京航空航天大学

报告时间：2023-03-30 15:00-17:30

腾讯会议ID：242 359 699

报告摘要：

In this talk, Chaotic dynamics and subharmonic bifurcations of a soft Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation are investigated analytically in this manuscript. Chaotic feature on the system parameters is investigated in detail. Some new interesting dynamic phenomena, such as chaotic bands for some excitation frequencies, are presented. The relationship between the frequency range of chaotic bands and the amplitude of the excitation as well as the damping is obtained analytically. Subharmonic bifurcations are investigated with subharmonic Melnikov method. It is analytically proved that the system may undergo chaotic motions through infinite or finite odd order subharmonic bifurcations.

报告人简介：

周良强，南京航空航天大学数学学院教授， 2008年博士毕业于南京航空航天大学，2010年天津大学博士后出站，主要研究方向为非线性动力学理论及其在航空航天等领域的应用，对光滑、非光滑非线性系统的全局分岔与混沌动力学理论及其应用方面取得了一系列研究成果，在Chaos, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, Nonlinear Dynamics, Acta Astronautica等动力学、航天主流期刊 发表SCI论文40余篇，主持国家自然科学基金项目(面上和青年)2项，博士后特别资助项目、面上项目3项。