報(bào)告承辦單位: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

報(bào)告內(nèi)容: Dynamics of Time-Delayed Nonlinear Systems

報(bào)告人姓名:季進(jìn)臣

報(bào)告人所在單位: 澳大利亞悉尼科技大學(xué)

報(bào)告人職稱/職務(wù)及學(xué)術(shù)頭銜: 副教授,博導(dǎo)

報(bào)告時(shí)間: 2019年1月18日 周五上午10:30

報(bào)告地點(diǎn): 理科樓A419

報(bào)告人簡(jiǎn)介: 季進(jìn)臣現(xiàn)為悉尼科技大學(xué)機(jī)械與機(jī)電工程學(xué)院副教授。他是國(guó)際公認(rèn)的非線性動(dòng)力學(xué)、分岔控制、振動(dòng)和非線性工程系統(tǒng)控制領(lǐng)域的專家。在國(guó)際頂級(jí)SCI期刊發(fā)表論文85余篇。他參與了由政府各資助機(jī)構(gòu)資助的各種研究項(xiàng)目。他的研究吸引了超過(guò)310萬(wàn)澳元的外部資金。

季進(jìn)臣是《International Journal of Bifurcation and Chaos》等兩份國(guó)際期刊的副主編。此外，他亦是澳洲、香港及歐洲科研項(xiàng)目申請(qǐng)的評(píng)審人。他曾擔(dān)任國(guó)際會(huì)議主席，并在許多重要的國(guó)際會(huì)議上發(fā)表了他的研究成果。他是第十八屆亞太振動(dòng)大會(huì)(www.APVC2019.org)組委會(huì)主席，會(huì)議將于2019年11月在澳大利亞悉尼舉行。

報(bào)告摘要：Time delay describes a situation that the present state depends on the state at previous times and can often be caused by the delayed reaction in sensors and actuators. Time delays have been found to exist in a number of engineering systems, for examples, magnetic bearing systems, maglev trains, controlled mechanical systems with delayed feedback, cold rolling mills, vehicle’s suspension system, rotating cutting and milling machines, etc. Existence of time delays in nonlinear mechanical systems can change the local stability of the trivial equilibrium of the corresponding autonomous system and induce complex dynamic behaviour in the non-autonomous systems.

This seminar will first discuss the practical examples of engineering systems involving time delay, and then the stability and dynamics of time-delayed nonlinear systems following Hopf bifurcations of the trivial equilibriums. The nonlinear systems include magnetic bearing systems, a van der Pol-Duffing oscillator with feedback control, and a quadratic nonlinear oscillator with feedback control. The secondary resonance response of the time-delayed nonlinear oscillator following two-to-one resonant Hopf bifurcations will also be discussed.