| 三维分片光滑Filippov-型方程Hopf分支周期解的数值计算 |
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| 引用本文： | 管庆光,臧林. 三维分片光滑Filippov-型方程Hopf分支周期解的数值计算[J]. 吉林大学学报(理学版), 2010, 48(3): 371-374 |
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| 作者姓名： | 管庆光 臧林 |
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| 作者单位： | 吉林大学,数学研究所,长春,130012;大连民族学院,数学系,辽宁,大连,116600 |
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| 基金项目： | 国家自然科学基金,吉林大学985工程研究生创新项目 |
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| 摘 要： | 给出了三维分片光滑Filippov-型方程广义Hopf分支周期解的数值计算方法,通过在每个光滑区域内构造Poincaré映射,再计算复合的Poincaré映射的不动点得到了相应的广义Hopf分支周期解,并给出了数值算例.结果表明,算法是有效的.
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| 关 键 词： | 分片光滑Filippov-型方程 Poincaré映射 不动点 周期解 |
| 收稿时间： | 2009-10-09 |
Numerical Computation of Periodic Solutions Generated by Generalized Hopf Bifurcation of 3-Dimensional Piecewise Smooth Filippov-Type Equation |
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| GUAN Qing-guang,ZANG Lin. Numerical Computation of Periodic Solutions Generated by Generalized Hopf Bifurcation of 3-Dimensional Piecewise Smooth Filippov-Type Equation[J]. Journal of Jilin University: Sci Ed, 2010, 48(3): 371-374 |
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| Authors: | GUAN Qing-guang ZANG Lin |
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| Affiliation: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. Department of Mathematics, Dalian National University, Dalian 116600, Liaoning Province, China |
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| Abstract: | We studied a numerical method for computing the periodic solutions generated by generalized Hopf bifurcation of 3 dimensional piecewise smooth Filippov type equation. Poincaré map was constructed in each smooth region. Computing the fixed point of composite Poincaré map, we obtained the periodic solutions of generalized Hopf bifurcation. Furthermore, the numerical computation of an example was also carried out to illustrate the efficiency of the method. |
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| Keywords: | piecewise smooth Filippov type equation Poincaré map fixed point periodic solution |
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