Four kinds of gradient representations of autonomous Birkhoffian systems

CUI Jin-chao; LIAO Cui-cui; MEI Feng-xiang

doi:10.3969/j.issn.1000-5641.2017.03.010

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May 2017

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CUI Jin-chao, LIAO Cui-cui, MEI Feng-xiang. Four kinds of gradient representations of autonomous Birkhoffian systems[J]. Journal of East China Normal University (Natural Sciences), 2017, (3): 94-98. doi: 10.3969/j.issn.1000-5641.2017.03.010

Citation:

CUI Jin-chao, LIAO Cui-cui, MEI Feng-xiang. Four kinds of gradient representations of autonomous Birkhoffian systems[J]. Journal of East China Normal University (Natural Sciences), 2017, (3): 94-98. doi: 10.3969/j.issn.1000-5641.2017.03.010

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Four kinds of gradient representations of autonomous Birkhoffian systems

doi: 10.3969/j.issn.1000-5641.2017.03.010

1.
School of Science, Jiangnan University, Wuxi Jiangsu 214122, China
2.
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received Date: 2016-04-19
Publish Date: 2017-05-25

Abstract

Abstract

In order to study the integration and the stability of autonomous Birkhoffian systems, we propose four kinds of gradient systems to represent the autonomous Birkhoffian systems. By analysing the relationship between the gradient systems and the Birkhoffian systems, we obtain the conditions that the Birkhoffian systems can be transformed into a kind of four gradient systems. Then, we use the properties of gradient system to investigate the problems of integration and stability of the Birkhoffian systems. Finally, we give some examples to illustrate the application of the theory.
- Birkhoffian systems,
- gradient system,
- integration,
- stability

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References(10)

References

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