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Weak centers and local bifurcations of critical periods at infinity for a class of rational systems
Authors:Email author" target="_blank">Wen-tao?HuangEmail author  Valery?G?Romanovski  Wei-Nian?Zhang
Institution:[1]School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004,China [2]Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor,Slovenia [3]School of Mathematics, Sichuan University, Chengdu 610064, China
Abstract:We describe an approach to studying the center problem and local bifurcations of critical periods at infinity for a class of differential systems. We then solve the problem and investigate the bifurcations for a class of rational differential systems with a cubic polynomial as its numerator.
Keywords:weak center  isochronicity  bifurcation of critical periods
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