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首页> 外文会议>ASME(American Society of Mechanical Engineers) International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2005(DETC2005) vol.1: Biennial Conference on Mechanical Vibration and Noisen pt.A; 20050924-28; >AN ANALYTIC STUDY ON CONTROLLING DUFFING CHAOS IN AMPLITUDE DOMAIN AND IN FREQUENCY DOMAIN
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AN ANALYTIC STUDY ON CONTROLLING DUFFING CHAOS IN AMPLITUDE DOMAIN AND IN FREQUENCY DOMAIN

机译：控制振幅域和频率域中的Duffing混沌的分析研究

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摘要

An analytical study on the chaos control of Duffing oscillator both in amplitude domain and in frequency domain is made in this paper. By means of the combined action of harmonically parametrical perturbation and forcing perturbation and suitably adjusting the parameters of perturbations, the chaotic motion of Duffing oscillator can be effectively controlled in a small region in the parametric space. We find that, in the amplitude domain, the chaotic motion exists only in the region where the ratio of the amplitudes of the perturbations is large than critical ratio, and, in the frequency domain, the chaotic motion exists only in a limited region where the frequency of perturbation is lower than superior frequency limit and larger than inferior frequency limit. The inferior frequency limit and superior frequency limit of chaotic region are discovered and determined firstly. An analytical expression of the critical ration of the amplitudes of forcing and parametrical perturbations is established.
机译：本文对Duffing振荡器的混沌控制进行了幅度和频域两方面的分析研究。通过谐波参数扰动和强迫扰动的组合作用，并适当地调整扰动参数，可以在参数空间的小区域内有效地控制Duffing振荡器的混沌运动。我们发现，在振幅域中，混沌运动仅存在于扰动振幅之比大于临界比率的区域，而在频域中，混沌运动仅存在于有限区域中。摄动频率低于上频率极限而大于下频率极限。首先发现并确定混沌区域的下限频率和上限频率。建立了强迫和参数扰动幅度的临界比的解析表达式。

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