论文信息 - Successive derivatives of a first return map, application to the study of quadratic vector fields

Successive derivatives of a first return map, application to the study of quadratic vector fields

We provide an algorithm to compute the first non-zero derivative of the return map r ↦ L(r, e) of a planar vector field which is a polynomial perturbation of a linear center. It yields a new method for finding the centre conditions in the case of a homogeneous perturbative part.

Jean-Pierre Francoise | J. Françoise

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