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Linearizability conditions of a time-reversible quartic-like system |
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| Authors: | Xingwu Chen Wentao Huang Valery G. Romanovski Weinian Zhang |
| Affiliation: | a Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China b School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China c Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, Maribor SI-2000, Slovenia d Faculty of Natural Science and Mathematics, University of Maribor, Koroška cesta 160, Maribor SI-2000, Slovenia |
| Abstract: | In this paper we study the linearizability problem of polynomial-like complex differential systems. We give a reduction of linearizability problem of such non-polynomial systems to the problem of polynomial systems. Applying this reduction, we find some linearizability conditions for a time-reversible quartic-like complex system and derive from them conditions of isochronous center for the corresponding real system. |
| Keywords: | Center Isochronous center Reversibility Linearizability |
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