| Biography | |
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 Prof. Qingjie Cao Harbin institute of Technology, China |
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| Title: Geometrical Nonloinear Dynamics and the Applications in Engineering Based upon the Proposed Type of ODEs with Irrational Nonlinearities | |
| Abstract: In this talk, we present the geometrical nonloinear dynamics and the applications in engineering based upon a type of ordinary differential equations with irrational nonlinearities. Utilizing negative stiffness properties of these systems, we built up the corresponding vibration isolators with high order quasi- zero-stiffness properties to meet the requirements of engineering, which behave a high degenerated double-zero eigenvalue problems of high co-dimension bifurcations with multiple parmeters. We demonstrate the chaos and the complicated bifurcations, the cups and the tangential saddles by showing the transion of the stabilities and also the distributions of the limit cycles for the geometrical systems. We will conclude the talk by giving several engineering applications in vibration isolations. Keywords: SD Oscillator, nonlinear isolatior, limit cycle, chaos, high codimension bifurcatons with multiple parameters | |
| Biography:
Qingjie Cao, Prof. PhD, School of Astronautics, Harbin Institute of Technology, Harbin 150001 China. Onece he worked in Shandong University, China, University of Southampton, University of Liverpool and University of Aberdeen, UK. His research interests involve chaos and bifurcations and also the applications in Engineering. He proposed a series of ordinary differential equations, the so called SD oscillators, with irrational nonlinearities resulted from engineering problems. He published over a hundres of journal and conference research papers, monographs and patents with the financial supportings from NSFC, Society and the others as well.
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