| 非对称型SD振子的动力学行为研究 |
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| 引用本文： | 陈聚峰,张静. 非对称型SD振子的动力学行为研究[J]. 石家庄铁道学院学报(社会科学版), 2015, 0(1): 101-105 |
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| 作者姓名： | 陈聚峰 张静 |
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| 作者单位： | 石家庄铁道大学 数理系;石家庄邮电职业技术学院 基础部 |
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| 基金项目： | 国家自然科学基金项目（11372196）;河北省自然科学基金项目(A2014210104) |
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| 摘 要： | 基于SD振子，建立了非对称型SD振子模型及其运动方程。利用等价替换法与代入法求解8次方程，分析平衡点，研究该系统的分岔现象。运用平均法求其幅频方程，并利用Matlab等软件对该模型进行数值模拟，得到幅频响应曲线、系统的分岔图、相图和Poincare截面。结果显示,该系统具有与SD振子不相同的丰富非线性动力学特性, 拓展了SD振子的研究和应用范围。
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| 关 键 词： | 非对称型SD振子 分岔 幅频曲线 混沌 |
| 收稿时间： | 2014-06-18 |
Study on Dynamical Behaviors of Asymmetrical SD Oscillator |
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| Chen Jufeng and Zhang Jing. Study on Dynamical Behaviors of Asymmetrical SD Oscillator[J]. , 2015, 0(1): 101-105 |
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| Authors: | Chen Jufeng and Zhang Jing |
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| Affiliation: | Department of Mathematics and Physics, Shijiazhuang Tiedao University;Department of Basic Courses, Shijiazhuang Post and Telecom Technical College |
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| Abstract: | Based on SD oscillator, a new model of asymmetrical SD oscillator and its equation of motion are founded. Using the equivalence replacing method and substitution method to solve an eight times algebraic equation, the equilibria are analyzed to study the bifurcation of this system. The amplitude frequency equations are obtained by the average method,and the numerical simulation is used to obtain the amplitude frequency curve, the bifurcation diagram of the system, the phase diagrams and Poincare sections. The results show the system has rich nonlinear dynamic behaviors, which are different from an SD oscillator and will enrich the range of SD oscillator in research and application. |
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| Keywords: | asymmetric SD oscillator bifurcation amplitude frequency curve chaos |
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