| 一类不连续映射的分岔分析 |
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| 引用本文： | 李群宏,韦丽梅,卢裕木. 一类不连续映射的分岔分析[J]. 动力学与控制学报, 2015, 13(4): 271-277 |
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| 作者姓名： | 李群宏 韦丽梅 卢裕木 |
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| 作者单位： | 广西大学数学与信息科学学院, 南宁 530004,广西大学数学与信息科学学院, 南宁 530004,广西大学数学与信息科学学院, 南宁 530004 |
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| 基金项目： | 国家自然科学基金资助项目(10972059,11372077)和广西自然科学基金资助项目(2010GXNSFA013110, 2013GXNSFAA019017) |
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| 摘 要： | 研究一类一维分段不连续映射的边界碰撞分岔问题,推导了周期n解的边界碰撞分岔曲线及fold分岔条件,通过数值仿真验证了这些条件的正确性.研究发现系统存在周期增加序列和周期叠加序列.最后,对分段不连续映射进行三参数分岔研究,揭示了系统各参数对其动力学行为的综合影响.
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| 关 键 词： | 分段映射 边界碰撞分岔 周期叠加 周期增加 |
Bifurcation analysis in a class of discontinuous maps |
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| Li Qunhong,Wei Limei and Lu Yumu. Bifurcation analysis in a class of discontinuous maps[J]. Journal of Dynamics and Control, 2015, 13(4): 271-277 |
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| Authors: | Li Qunhong Wei Limei Lu Yumu |
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| Abstract: | Border-collision bifurcations of a class of one-dimensional piecewise discontinuous maps were investigated. The border-collision bifurcation curves and fold bifurcation conditions for period-n solutions were derived. The correctness of the deduced results was confirmed through the numerical simulations. It is found that there are period adding sequences and period overlapping sequences in the system. Finally, the three-parameter bifurcations of the piecewise discontinuous map were considered, which demonstrates the combined influence of all the parameters in the map. |
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| Keywords: | piecewise map border-collision bifurcation period overlapping period adding |
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