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Global Bifurcation of a Perturbed Double-Homoclinic Loop*

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Abstract

Abstract This paper deals with a kind of fourth degree systems with perturbations. By using the method of multi-parameter perturbation theory and qualitative analysis, it is proved that the system can have six limit cycles.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shandong University of Technology, Zibo 255049, Shandong, China

    Desheng Shang

  2. School of Mathematical Sciences, Shanghai Normal University, Shanghai 200234, China

    Maoan Han

Authors
  1. Desheng Shang
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  2. Maoan Han
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Correspondence to Desheng Shang.

Additional information

*Project supported by the National Natural Science Foundation of China (No.10371072), the New Century Excellent Talents in University (No.NCET-04-038) and the Shanghai Leading Academic Discipline (No.T0401).

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Shang, D., Han, M. Global Bifurcation of a Perturbed Double-Homoclinic Loop*. Chin. Ann. Math. Ser. B 27, 425–436 (2006). https://doi.org/10.1007/s11401-004-0487-4

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  • DOI: https://doi.org/10.1007/s11401-004-0487-4

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