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Isochronicity for a Z2-equivariant cubic system

Chaoxiong Du
Yirong Liu
Journal / Anthology

Nonlinear Dynamics
Year: 2017
Volume: 87
Page range: 1235-1252

This paper is concerned with the bi-isochronous centers problem for a cubic systems in Z2- equivariant vector field. Being based on bi-centers condition, we compute the period constants and obtain the periodic constants basis for each center condition separately of eleven conditions by symbolic computation and numerical analysis with help of the computer algebra system Mathematica. Moreover, we give the sufficient and necessary condition that investigated cubic system has a pair of isochronous centers. In terms of the result of simultaneous isochronous centers including bi-isochronous centers, it is hardly seen in published references, our result in this paper is new.

*Mathematics > Calculus and Analysis > Dynamical Systems