论文信息 - The Center-Focus Problem and Reversibility

The Center-Focus Problem and Reversibility

In this paper we discuss the relation between time-reversibility and the center/focus problem. We show the following: for any analytic planar system X, if j1X, the one-jet of X, is conjugated to (−y, x) then X is analytically time-reversible if and only if it is a center; if j1X is conjugated to (y, 0), then some sufficient and necessary conditions for X to have a center are given. In particular, the reversibility of certain types of polynomial vector fields is studied.

Marco Antonio Teixeira | Jiazhong Yang

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