Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities

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• 作者：Jaume Giné ; Claudia Valls
• 关键词：Integrability ; Resonant saddle ; Quintic systems ; MSC 34C05 ; MSC 37C10
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：81
• 期：4
• 页码：2021-2030
• 全文大小：471 KB
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• 作者单位：Jaume Giné (1)
  Claudia Valls (2)
  
  1. Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001, Lleida, Catalonia, Spain
  2. Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001, Lisbon, Portugal
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

In this work we complete the integrability conditions (i.e., conditions for the existence of a local analytic first integral) for a family of a resonant saddle perturbed with homogeneous quintic nonlinearities studied in a previous work. In order to obtain the necessary conditions we use modular arithmetic computations.