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Weak Centers for Reversible Cubic Systems

Weinian Zhang, Xiaorong Hou, Zhenbing Zeng
Centre for Mathematical Sciences
CICA, Academia Sinica
Chengdu 610041, P.R. CHINA

zeng@ntr.cdb.ac.cn

Abstract

Unlike Chicone and Jacob's consideration in quadratic case and unlike Rousseau and Toni's inhomogenous case, the problem of weak centers for general cubic differential systems involves too much complicated polynomials. In this paper, we analyze reversible cubic systems using Maple V.2 on Pentium/75 PC for its weak center and local bifurcation of critical period.

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