| The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator | |
| Chu, Jifeng ; Lei, Jinzhi ; Zhang, Meirong | |
| 2010-10-12 ; 2010-10-12 | |
| 关键词 | Lyapunov stability Periodic solutions Planar nonlinear systems Birkhoff normal forms Twist coefficient Relativistic oscillator PERIODIC-SOLUTIONS HILLS EQUATION FIXED-POINTS LAPLACIAN EXISTENCE PHI Mathematics |
| 中文摘要 | In this paper we present a sufficient condition for the stability of the equilibrium of a nonlinear planar system. The. proof is based on the computation of the corresponding Birkhoff normal forms. The result does not involve small parameters. Applications to the relativistic oscillator are also given. (C) 2008 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/81161]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Chu, Jifeng,Lei, Jinzhi,Zhang, Meirong. The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator[J],2010, 2010. |
| APA | Chu, Jifeng,Lei, Jinzhi,&Zhang, Meirong.(2010).The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator.. |
| MLA | Chu, Jifeng,et al."The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator".(2010). |
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