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BIFURCATIONS AND CHAOS IN AUTONOMOUS SELF-EXCITED OSCILLATORS WITH IMPACT DAMPING

机译:具有冲击阻尼的自激自激振荡器的分叉和混沌

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摘要

Dynamics and bifurcations of a class of single-degree-of-freedom self-excited oscillators with an impact damper have been studied. The basic motivation is to determine a persistent bifurcation structure of co-dimension one which is independent of the exact functional form of the self-excitation mechanism. In the process, an analytical method for studying the qualitative dynamical features is presented. A new numerical scheme for analyzing the eigenproperties of a solution is developed. A detailed numerical study, revealing the superstructure of the bifurcation phenomena, has been performed. (C) 1996 Academic Press Limited [References: 18]
机译:研究了一类带减振器的单自由度自激振荡器的动力学和分叉。基本动机是确定一个共维的持久分叉结构,该结构独立于自激机制的确切功能形式。在此过程中,提出了一种研究定性动力学特征的分析方法。开发了一种新的数值方案,用于分析解的本征特性。进行了详细的数值研究,揭示了分叉现象的上层结构。 (C)1996 Academic Press Limited [参考文献:18]

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