| 基于点映射胞轨迹法的强非线性系统混沌演化与激变研究 |
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| 引用本文： | 杨庆超,孙方旭,柴凯,李爽. 基于点映射胞轨迹法的强非线性系统混沌演化与激变研究[J]. 四川兵工学报, 2016, 0(9): 138-141. DOI: 10.11809/scbgxb2016.09.032 |
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| 作者姓名： | 杨庆超 孙方旭 柴凯 李爽 |
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| 作者单位： | 海军工程大学 科研部,武汉,430033 |
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| 基金项目： | 国家自然科学基金青年科学基金资助项目“准零刚度隔振系统混沌化技术研究”(51509253)，“潜艇机械设备混沌振动自适应预测控制研究”(51579242) |
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| 摘 要： | 针对强非线性系统混沌演化与激变难以掌握，阻碍线谱混沌化技术工程化应用的问题，采用点映射胞轨迹法对强非线性系统的全局性态进行了研究；研究结果表明：随着激励力幅值的增加，系统经历了不止一次的对称破缺分岔，逆对称破缺分岔过程，系统通过不同形式由周期状态转变为混沌运动状态。
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| 关 键 词： | 强非线性系统 点映射胞轨迹法 混沌演化 激变 |
Study on Evolution and Crisis of Chaos Attractor in Strongly Nonlinear System Based on PMUCR Method |
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| Abstract: | For the problem that it is difficult to grasp the evolution and crisis of the chaos attractor in strongly nonlinear system,and the engineering application of the line spectra chaotification was obstructed, and the global behavior of the strongly nonlinear system was studied based on PMUCR method.The result shows that there are more than once symmetry breaking bifurcation and inverse symmetry breaking bifurcation process and the roads turning into chaos are various. |
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| Keywords: | strongly nonlinear system PMUCR chaos evolution chaos crisis |
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