含周期系数范德坡方程周期解的存在性 |
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引用本文: | 杨小勇,郭成 .含周期系数范德坡方程周期解的存在性[J].淮海工学院学报,2011(4):1-3. |
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作者姓名: | 杨小勇 郭成 |
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作者单位: | [1]淮海工学院理学院,江苏连云港222005 [2]厦门理工学院数学系,福建厦门361024 |
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基金项目: | 淮海工学院自然科学校内科研课题(2010150038) |
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摘 要: | 讨论了周期系数范德坡方程解的性质.首先讨论了μ是正周期系数时周期解的存在性,接着讨论了μ是正有界时间函数时周期解的存在性,最后讨论了μ渐进逼近一个正常系数时周期解的存在性与唯一性.对几种情形通过数值模拟与例子作了说明.
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关 键 词: | 极限环 周期解 全局稳定性 |
Existence of Periodic Solution of Van Der Pol Equation with Periodic Coefficient |
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Affiliation: | YANG Xiao-yong,GUO Cheng(1.School of Science,Huaihai Institute of Technology,Lianyungang 222005,China; 2.Dept.of Mathematics,Xiamen University of Technology,Xiamen 361024,China) |
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Abstract: | This paper discusses Van der Pol equation with periodic coefficient.First,the existence of positive periodic coefficient μ is discussed;Then,the existence of positive bounded coefficient μ is investigated;the positive coefficient μ approaching a constant,unique periodic solution exists.Numerical simulation and examples are used to show these. |
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Keywords: | limit cycle periodic solution global stability |
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