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Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems

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Differential Equations with Symbolic Computation

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this article, the definition of isochronous center at infinity is given and the center conditions and the isochronous center conditions at infinity for a class of differential systems are investigated. By a transformation, infinity is taken to the origin and therefore properties at infinity can be studied with the methods developed for finite critical points. Using the computations of singular point values and period constants at the origin, the problem of conditions for infinity to be a center or to be an isochronous center has been solved for complex vector fields in this case.

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Author information

Authors and Affiliations

  1. Department of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin, 541004, China

    Wentao Huang

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Yirong Liu

Authors
  1. Wentao Huang
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  2. Yirong Liu
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Editor information

Editors and Affiliations

  1. School of Science, Beihang University, 37 Xueyuan Road, Beijing, 100083, China

    Dongming Wang  & Zhiming Zheng  & 

  2. Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie - CNRS, 8, rue due Capitaine Scott, 75015, Paris, France

    Dongming Wang

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Huang, W., Liu, Y. (2005). Conditions of Infinity to be an Isochronous Center for a Class of Differential Systems. In: Wang, D., Zheng, Z. (eds) Differential Equations with Symbolic Computation. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7429-2_3

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