| 广义Hamilton系统与梯度系统 |
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| 引用本文： | 梅凤翔,吴惠彬.广义Hamilton系统与梯度系统[J].中国科学(G辑),2013(4):538-540. |
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| 作者姓名： | 梅凤翔 吴惠彬 |
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| 作者单位： | 北京理工大学理学院,北京100081 |
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| 基金项目： | 国家自然科学基金资助项目（批准号：10932002,10972031） |
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| 摘 要： | 广义Hamilton系统-9梯度系统是两类不同的重要动力学系统．本文研究这两类系统的关系．首先，给出广义Hamilton系统，它是Hamilton系统的一种推广，而Birkhoff系统在一定条件下可成为广义Hamilton系统；其次，研究梯度系统及其意义；最后，研究两类系统的关系，并举例说明结果的应用．
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| 关 键 词： | 广义Hamilton系统 梯度系统 稳定性 |
Generalized Hamilton system and gradient system |
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| Authors: | MEI FengXiang ＆ WU HuiBin |
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| Institution: | MEI FengXiang ＆ WU HuiBin (Faculty of Science, Beijing Institute of Technology, Beijing 100081, China) |
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| Abstract: | The generalized Hamilton system and the gradient system are two different important dynamical systems. The relation between the two systems is studied. The generalized Hamilton system is a generalization of the Hamilton system. A Birkhoff system can become a generalized Hamilton system under some conditions. The gradient system and its application are given. The relation of the two systems is obtained. Some examples are given to illustrate the application of the result. |
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| Keywords: | generalized Hamilton system gradient system stability |
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