Affiliation:
1. School of Mathematical Sciences, Yangzhou University, Yangzhou, China
Abstract
Recent study has shown great interest in the existence of center for planar
differential systems. Sufficient conditions have been given for a critical
point of some polynomial systems to be a center. However, it is challenging
to generalize these results to higher-order or non-polynomial systems by
traditional methods. In this paper, we tackle the problem by studying the
equivalence of differential systems using the Mironenko?s method. Our method
includes the construction of RF- integrals for the rational differential
equations, we give some new criterions for two differential equations to be
equivalent. Applying these results to the study of center of planar
differential systems, we generalize the conclusions made in existing
literature for a specific polynomial system to a wide range of higher-order
polynomial or non-polynomial systems.
Publisher
National Library of Serbia
Cited by
1 articles.
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