Resonance and Symmetry Breaking for a Nonlinear Oscillator

机译：非线性振子的共振和对称性破缺

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摘要

Analytical conditions for breaking of the resonance curve (amplitude versus frequency) and of the symmetry of a harmonically forced, lightly damped, nonlinear oscillator are developed and applied to a Duffing oscillator to predict results that are confirmed by numerical simulation. Keywords: Reprints. (JHD)

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作者
Miles, J.;
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年度 1988
页码 p.1-5
总页数 5
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Oscillators; Damping; Braking; Nonlinear systems; Digital simulation; Reprints; Resonance; Symmetry;

机译：振荡器;阻尼;制动;非线性系统;数字仿真;重印;共振;对称性;

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2. Growth and Nonlinear Saturation of Fluctuations in a Nonlinear Oscillator at the Threshold of a Bifurcation of Spontaneous Symmetry Breaking [J] . E. D. Surovyatkina Radiophysics and quantum electronics . 2005,第5期

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3. Nonlinearly PT-symmetric systems: Spontaneous symmetry breaking and transmission resonances [J] . Andrey E. Miroshnichenko, Boris A. Malomed, Yuri S. Kivshar Physical Review, A. Atomic, molecular, and optical physics . 2011,第1aPta1期

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4. Symmetry breaking rotating wave bifurcation in nonlinear problems with O(2) * O(2)-symmetry [C] . Zhong-hua Yang, Chang-pin Li International Conference on Nonlinear Mechanics . 2002

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5. The Existence of Spontaneous Parity-Time Symmetry Breaking, Asymmetric Transport, and Defect Modes in Nonlinearly Coupled van der Pol Oscillators. [D] . Jutley, Jessica J. 2017

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6. Complex patterns arise through spontaneous symmetry breaking in dense homogeneous networks of neural oscillators [O] . Rajeev Singh, Shakti N. Menon, Sitabhra Sinha -1

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Resonance and Symmetry Breaking for a Nonlinear Oscillator

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