Planar analytic vector fields with generalized rational first integrals

Author:

Li Weigu,Llibre Jaume,Zhang Xiang

Publisher

Elsevier BV

Subject

General Mathematics

Reference37 articles.

1. Geometric Methods in Theory of Ordinary Differential Equations;Arnold,1983

2. Dynamical systems-I, ordinary differential equations;Arnold,1988

3. On the number of limit cycles which appear with the variation of the coefficients from an equillibrium position of focus or center type;Bautin;Math. USSR Sb.,1954

4. Local Theory of Nonlinear Analytic Ordinary Differential Equations;Bibikov,1979

5. Local orbital normal forms of vector fields in the plane;Bogdanov;Trudy Sem. Petrovsk.,1979

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