The Center Variety of Polynomial Differential Systems
نویسندگان
چکیده
We investigate the symmetry component of the center variety of polynomial differential systems, corresponding to systems with an axis of symmetry in the real plane. We give a general algorithm to find this component, compute its dimension and show that it is irreducible. We show that our methods provide a simple way to compute the radical of the ideal generated by the focus quantities and, therefore, to investigate the cyclicity of a center in the case when the ideal is radical. In particular, we use our methods to show that the system with homogeneous cubic nonlinearities has cyclicity less than or equal to 5.
منابع مشابه
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