| 可控非线性非完整系统的代数结构和Poisson积分法 |
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| 引用本文： | 傅景礼,罗绍凯.可控非线性非完整系统的代数结构和Poisson积分法[J].商丘师范学院学报,1998(Z1). |
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| 作者姓名： | 傅景礼 罗绍凯 |
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| 作者单位： | 商丘师专物理系!河南商丘，476000，商丘师专物理系!河南商丘，476000 |
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| 基金项目： | 国家自然科学基金，河南省自然科学基金 |
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| 摘 要： | 研究可控非线性非完整系统的代数结构．给出特殊可控非完整系统具有相容代数结构和Lie代数结构，一般可控非线性非完整系统具有相容代数结构和Lie容许代数结构．并将Poisson积分方法推广应用于可控非线性非完整系统．
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| 关 键 词： | 分析力学 可控 非线性 非完整系统 Lie代数 Poisson积分 |
ALGEBRAIC STRUCTURE AND POISSON'S INTEGRATION OF THE CONTROLLABLE NONLINER NONHOLONOMIC DYNAMICAL SYSTEMS |
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| Fu Jingli Luo Shaokai.ALGEBRAIC STRUCTURE AND POISSON'S INTEGRATION OF THE CONTROLLABLE NONLINER NONHOLONOMIC DYNAMICAL SYSTEMS[J].Journal of Shangqiu Teachers College,1998(Z1). |
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| Authors: | Fu Jingli Luo Shaokai |
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| Abstract: | Algebraic structure and poisson's integration of the controllable nonlinear nonholonomic dynamical systems are studied. This work gives the special controllable nonlinearnonholonomic dynamical systems,that have Lie algebraic structure,also gives ordinary nonlinear nonholonomic dynamical systems have Lie toleration algebraic structure. We also popularize and apply the poisson's integration to controllable nonlinear nonholonomic dynamicalsystems. |
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| Keywords: | analytical mechanics controllable nonlinear nonholonomic systems algebraic poisson's integration |
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