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Rotating-symmetric solutions for nonlinear systems with symmetry

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Abstract

It is proved that if a nonlinear system possesses some group-symmetry, then under certain transversality it admits solutions with the corresponding symmetry. The method is due to Mawhin’s guiding function one.

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Authors and Affiliations

  1. College of Mathematics, Jilin University, Changchun, 130012, China

    Hong-ren Wang & Xue Yang

  2. College of Mathematics, Jilin Normal University, Siping, 136000, China

    Hong-ren Wang

  3. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

    Xue Yang & Xue Yang

  4. Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, 130024, China

    Xue Yang & Xue Yang

Authors
  1. Hong-ren Wang
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  2. Xue Yang
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  3. Xue Yang
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Corresponding author

Correspondence to Xue Yang.

Additional information

Supported by National Basic Research Program of China (grant No. 2013CB834100), National Natural Science Foundation of China (grant No. 11171132), and National Natural Science Foundation of China (grant No. 11201173).

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Wang, Hr., Yang, X. & Yang, X. Rotating-symmetric solutions for nonlinear systems with symmetry. Acta Math. Appl. Sin. Engl. Ser. 31, 307–312 (2015). https://doi.org/10.1007/s10255-015-0484-2

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  • DOI: https://doi.org/10.1007/s10255-015-0484-2

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