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数学科学学院学术报告: Chaos and subharmonic bifurcations of a soft Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation

发布日期:2024/06/18    点击:

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

:周良强,南京航空航天大学数学学院教授

报告时间:2024年6月20日(星期四)上午10:00

报告地点7JC214

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,博士生导师,江苏省数学学会理事,江苏省动力学与控制专业委员会、非线性振动专业委员会委员。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,主要研究方向为动力系统的分岔与混沌、非线性动力学理论及其在航空航天等领域的应用,在光滑、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, Applied Mathematical ModellingNonlinear Dynamics, Acta AstronauticaAerospace Science and Technology等应用数学、动力学及航空航天Top期刊发表SCI论文50余篇,主持国家自然科学基金项目、博士后基金特别资助项目等多项。

 

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