Skew-gradient representation of generalized Birkhoffian system

Feng Xiang Mei; Hui Bin Wu

doi:10.1088/1674-1056/24/10/104502

Skew-gradient representation of generalized Birkhoffian system

Feng Xiang Mei
, Hui Bin Wu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of the skew-gradient system are used to study the properties, especially the stability, of the generalized Birkhoffian system. Some examples are given to illustrate the application of the result.

Original language	English
Article number	104502
Journal	Chinese Physics B
Volume	24
Issue number	10
DOIs	https://doi.org/10.1088/1674-1056/24/10/104502
Publication status	Published - 20 Aug 2015

Keywords

Lyapunov function
generalized Birkhoffian system
skew-gradient system
stability

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10.1088/1674-1056/24/10/104502

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abstract = "The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of the skew-gradient system are used to study the properties, especially the stability, of the generalized Birkhoffian system. Some examples are given to illustrate the application of the result.",

keywords = "Lyapunov function, generalized Birkhoffian system, skew-gradient system, stability",

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AU - Mei, Feng Xiang

AU - Wu, Hui Bin

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AB - The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of the skew-gradient system are used to study the properties, especially the stability, of the generalized Birkhoffian system. Some examples are given to illustrate the application of the result.

KW - Lyapunov function

KW - generalized Birkhoffian system

KW - skew-gradient system

KW - stability

UR - https://www.scopus.com/pages/publications/84947601407

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DO - 10.1088/1674-1056/24/10/104502

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VL - 24

JO - Chinese Physics B

JF - Chinese Physics B

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ER -

Skew-gradient representation of generalized Birkhoffian system

Abstract

Keywords

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