Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling

Yamapi R.; Orou JBC.; Woafo P.

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Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling

机译：具有参量耦合的非线性机电系统的谐波动力学和混沌过渡

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This paper deals with the dynamics of a system consisting of the Duffing electrical oscillator coupled magnetically and parametrically to a linear mechanical oscillator. Frequency responses and stability boundaries of oscillatory states are obtained using respectively the method of harmonic balance and the Floquet theory. Effects of the parametric modulation of the coupling on frequency responses and stability boundaries are analyzed. Various types of bifurcation sequences are reported. [References: 16]

机译：本文研究了由Duffing电振荡器组成的系统的动力学特性，该Duffing电振荡器通过磁力和参数方式耦合到线性机械振荡器。分别使用谐波平衡法和Floquet理论获得了振荡状态的频率响应和稳定边界。分析了耦合的参数调制对频率响应和稳定性边界的影响。报告了各种类型的分叉序列。 [参考：16]

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2003年第4期|共7页
作者
Yamapi R.; Orou JBC.; Woafo P.;
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正文语种 eng
中图分类物理学;
关键词
Vanderpol oscillators; Bifurcation;

机译：范德波尔振荡器;分叉;

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1. Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling [J] . Yamapi R., Orou JBC., Woafo P. Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2003,第4期

机译：具有参量耦合的非线性机电系统的谐波动力学和混沌过渡
2. Bifurcation and chaos analysis of a nonlinear electromechanical coupling relative rotation system [J] . Liu Shuang, Zhao Shuang-Shuan, Sun Bao-Ping, 中国物理：英文版 . 2014,第009期

机译：非线性机电耦合相对旋转系统的分岔与混沌分析
3. Nonlinear Parametric Effects and Dynamic Chaos in a Nonautonomous Oscillating System with a Nonlinear Capacitance [J] . S. N. Vladimirov, V. I. Perfilev Technical physics . 2004,第7期

机译：具有非线性电容的非自治振荡系统的非线性参数效应和动态混沌。
4. NON-PARAMETRIC IDENTIFICATION OF NONLINEAR MULTI-DEGREE DYNAMIC SYSTEMS WITH IMPORTANT NONLINEAR MODAL COUPLING [C] . P. ARGOUL, L. JEZEQUEL International Seminar on Modal Analysis . 1996

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5. Examining the vibrational couplings and dynamics in cyanide-bridged transition metal mixed valence complexes using ultrafast nonlinear infrared spectroscopy [D] . Slenkamp, Karla M. 2015

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7. Transition to chaos in Bose-Einstein condensates : role of inter-component interactions on wavepacket breathing(3) Chaos and nonlinear dynamics in dissipative systems(including BEC and pattern formations), Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems) [O] . Nakamura Katsuhiro 2005

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Harmonic dynamics and transition to chaos in a nonlinear electromechanical system with parametric coupling

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