Rotating-Symmetric Solutions for Nonlinear Systems with Symmetry

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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Bibliographic Details
Published in:Acta Mathematicae Applicatae Sinica 2015-01, Vol.31 (2), p.307-312
Main Authors: Wang, Hong-ren, Yang, Xue
Format: Article
Language:English
Subjects:
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
对称性
对称解
旋转
非线性系统
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Description
Summary: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.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-015-0484-2