| 含有约束的两个状态变量系统的转迁集计算 |
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| 引用本文： | 李军,陈予恕.含有约束的两个状态变量系统的转迁集计算[J].应用数学和力学,2012,33(2):135-152. |
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| 作者姓名： | 李军 陈予恕 |
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| 作者单位： | 哈尔滨工业大学 航天学院137信箱,哈尔滨 150001 |
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| 基金项目： | 国家自然科学基金资助项目(10632040) |
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| 摘 要： | 周期解的分岔广泛存在于实际的非线性动力学系统中．该文对两个状态变量系统的约束分岔进行了讨论．在约束条件下系统将产生新的转迁集．此外，以一个二维系统为例，对含有约束条件和不含有约束条件的分岔特性进行了比较．所得的结果可以为系统的设计和参数选择提供理论依据．
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| 关 键 词： | 分岔 约束 奇异性理论 非线性动力学 两状态变量 |
| 收稿时间： | 2011-08-19 |
Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints |
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| LI Jun
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CHEN Yu-shu.Transition Sets of Bifurcations of Dynamical System With Two State Variables With Constraints[J].Applied Mathematics and Mechanics,2012,33(2):135-152. |
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| Authors: | LI Jun CHEN Yu-shu |
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| Institution: | School of Astronautics, Harbin Institute of Technology, P.O.Box 137, Harbin 150001, P.R.China |
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| Abstract: | Bifurcation of periodic solutions widely exists in nonlinear dynamical systems.Categories of bifurcations of systems with two state variables with different types of constraints were discussed where some new types of transition sets were added.Additionally,the bifurcation properties of two-dimensional systems without constraints were compared with the ones with constraints.The results obtained can be used by engineers for the choice of the structural parameters of the system. |
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| Keywords: | bifurcation constraint singularity theory nonlinear dynamics two state variables |
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