Determination of limit cycles for a modified van der Pol oscillator

DAcunto M

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Determination of limit cycles for a modified van der Pol oscillator

机译：确定改进的范德波尔振荡器的极限环

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The determination of amplitude and period of limit cycles is a crucial question in non-linear mechanics. In this paper, a van der Pol oscillator containing a periodic potential is considered. Amplitude and period of limit cycles are calculated by He's variational method and Krylov-Bogoliubov-Mitropol sky (KBM) method. (c) 2005 Elsevier Ltd. All rights reserved.

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《Mechanics research communications》 |2006年第1期|共6页
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DAcunto M;
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正文语种 eng
中图分类力学;
关键词
self-excited oscillator; limit cycle; VARIATIONAL ITERATION METHOD;

机译：自激振荡器极限周期可变迭代法;

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1. Determination of limit cycles for a modified van der Pol oscillator [J] . DAcunto M Mechanics research communications . 2006,第1期

机译：确定改进的范德波尔振荡器的极限环
2. Non-existence, existence, and uniqueness of limit cycles for a generalization of the Van der Pol-Duffing and the Rayleigh-Duffing oscillators [J] . Physica, D. Nonlinear phenomena . 2020,第期

机译：限位循环的不存在，存在和唯一性，用于van der Pol-Duffing的概括和瑞利 - Duffing振荡器
3. On the limit cycles, period-doubling, and quasi-periodic solutions of the forced Van der Pol-Duffing oscillator [J] . Cui Jifeng, Zhang Wenyu, Liu Zeng, Numerical algorithms . 2018,第4期

机译：在强制van der Pol-Duffing振荡器的极限循环，周期倍增和准周期性溶液中
4. Control design for the compensation of limit cycles in Van Der Pol oscillator [C] . Aisha Batool, Athar Hanif, M. T. Hamayun, International Conference on Emerging Technologies . 2017

机译：Van Der Pol振荡器的极限循环补偿控制设计
5. Modeling the Response of Rayleigh - Van Der Pol Oscillators to Stochastic Excitation Near the Hopf Bifurcation [D] . Lu, Bingshen. 2019

机译：绘制瑞利 - 范德波尔振荡器对Hopf分岔附近随机激发的响应
6. Entrainment and synchronization in networks of Rayleigh–van der Pol oscillators with diffusive and Haken–Kelso–Bunz couplings [O] . Francesco Alderisio, Benoît G. Bardy, Mario di Bernardo -1

机译：具有扩散和Haken-Kelso-Bunz耦合的Rayleigh-van der Pol振荡器网络中的夹带和同步
7. High order analysis of the limit cycle of the van der Pol oscillator [O] . Amore, Paolo, Boyd, John P., Fernández, Francisco M. 2017

机译：van der pol振子极限环的高阶分析
8. Perturbation Analysis of the Limit Cycle of the Free van der Pol Equation [R] . Dadfar, M. B., Geer, J., Anderson, C. M. 1983

机译：自由van der pol方程极限环的扰动分析

Determination of limit cycles for a modified van der Pol oscillator

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