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Weak centers and local bifurcations of critical periods at infinity for a class of rational systems

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Abstract

We describe an approach to studying the center problem and local bifurcations of critical periods at infinity for a class of differential systems. We then solve the problem and investigate the bifurcations for a class of rational differential systems with a cubic polynomial as its numerator.

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Author information

Authors and Affiliations

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

    Wen-tao Huang

  2. Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000, Maribor, Slovenia

    Valery G. Romanovski

  3. School of Mathematics, Sichuan University, Chengdu, 610064, China

    Wei-Nian Zhang

Authors
  1. Wen-tao Huang
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  2. Valery G. Romanovski
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  3. Wei-Nian Zhang
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Corresponding author

Correspondence to Wen-tao Huang.

Additional information

The first author is supported by the National Natural Science Foundation of China (10961011) and the Slovene Human Resources and Scholarship Fund. The second author acknowledges support of this work by the Slovenian Research Agency, by the Nova Kreditna Banka Maribor, by TELEKOM Slovenije and by the Transnational Access Programme at RISC-Linz of the European Commission Framework 6 Programme for Integrated Infrastructures Initiatives under the project SCIEnce (Contract No. 026133).

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Huang, Wt., Romanovski, V.G. & Zhang, WN. Weak centers and local bifurcations of critical periods at infinity for a class of rational systems. Acta Math. Appl. Sin. Engl. Ser. 29, 377–390 (2013). https://doi.org/10.1007/s10255-013-0220-8

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  • DOI: https://doi.org/10.1007/s10255-013-0220-8

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