ANALYTICAL PERIODIC MOTIONS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR

机译：周期性强制阻尼阻尼振子中的解析周期运动

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The analytical solutions of the period-1 motions for a hardening Duffing oscillator are presented through the generalized harmonic balance method. The conditions of stability and bifurcation of the approximate solutions in the oscillator are discussed. Numerical simulations for period-1 motions for the damped Duffing oscillator are carried out.

机译：通过广义谐波平衡法给出了硬化Duffing振子周期1运动的解析解。讨论了振荡器中近似解的稳定性和分叉的条件。对阻尼Duffing振荡器的1期运动进行了数值模拟。

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《ASME international mechanical engineering congress and exposition》|2013年|75-81|共7页
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Albert C.J. Luo; Jianzhe Huang;
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1. On complex periodic motions and bifurcations in a periodically forced, damped, hardening Duffing oscillator [J] . Guo Yu, Luo Albert C. J. Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2015,第Pta1期

机译：在周期性强制，阻尼，硬化的Duffing振荡器中进行复杂的周期性运动和分叉
2. The mechanism of a controlled pendulum synchronizing with periodic motions in a periodically forced, damped duffing oscillator [J] . Luo A.C.J., Min F. International journal of bifurcation and chaos in applied sciences and engineering . 2011,第7期

机译：受控的摆锤与周期性强制阻尼的Duffing振荡器中的周期性运动同步的机制
3. Global tangency and transversality of periodic flows and chaos in a periodically forced, damped Duffing oscillator [J] . Luo ACJ International journal of bifurcation and chaos in applied sciences and engineering . 2008,第1期

机译：周期性强迫阻尼Duffing振荡器中周期性流动和混沌的整体相切性和横向性
4. ANALYTICAL PERIODIC MOTIONS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR [C] . Albert C. J. Luo, Jianzhe Huang ASME International Mechanical Engineering Congress and Exposition . 2013

机译：定期强制损坏的Duffing振荡器中的分析周期运动
5. Periodic Motions and Bifurcation Trees in a Periodically Excited Duffing Oscillator with Time-delay. [D] . Xing, Siyuan. 2016

机译：具有时间延迟的周期性激励Duffing振荡器的周期性运动和分支树。
6. Band Gaps Characteristics Analysis of Periodic Oscillator Coupled Damping Beam [O] . Li Tang, Xiongliang Yao, Guoxun Wu, 2020

机译：周期振荡器耦合阻尼梁的带间隙特性分析
7. Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping [O] . Julien C. Sprott, Sajad Jafari, Abdul Jalil M. Khalaf, 2017

机译：巨大的能力：在具有空间周期性阻尼的定期强制振荡器中嵌套吸引器的可数无限远的共存
8. Experiments on Bifurcation of Periodic States into Tori for a Periodically Forced Chemical Oscillator. [R] . Vance, W., Ross, J. 1988

机译：周期强迫化学振子周期态分为Tori的实验。

ANALYTICAL PERIODIC MOTIONS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR

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