Routes to mix-mode oscillations in active control system with multiple time delays

来源 :第十六届全国非线性振动暨第十三届全国非线性动力学和运动稳定性学术会议 | 被引量 : 0次 | 上传用户:lixiang1336
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  Delay and its compensation are important issues in optimal design of active structural control system.This paper investigates the generation of some complex mix-mode oscillations in active control oscillator with multiple time delays.We present the bursting patterns,including symmetric codimension one and codimension two mix-mode oscillations with the slow variation of periodic excitation item.We calculate the bifurcation conditions of fast subsystem as well as its stability induced by time delay.We also identify some regimes of bursting depending on the magnitude of the delay itself and the strength of time delayed coupling in this active control model.Furthermore,time delays can be used as a tuning parameter to modulate dynamics of mix-mode oscillations corresponding to the different types.In particular,multiple discrete time delays can enhance the spiking performance and obtain the remarkable dynamics even in a very simple second order differential model.This work enriches the routes to mix-mode oscillations in active control system.Also some numerical simulations are included to illustrate the validity of our study.
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