Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves

Author:

Gasull Armengol,Giacomini Hector

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference44 articles.

1. Alberich-Carramiñana, M., Ferragut, A., Llibre, J.: Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps. Adv. Math. 389(107924), 1–38 (2021)

2. Bamón, R.: Quadratic vector fields in the plane have a finite number of limit cycles. Inst. Hautes Études Sci. Publ. Math. 64, 111–142 (1986)

3. Bautin, N.N.: On periodic solutions of a system of differential equations. Akad. Nauk. SSSR. Prikl. Mat. Meh. 18, 128 (1954). (in Russian)

4. Carnicer, M.M.: The Poincaré problem in the nondicritical case. Ann. Math. (2) 140, 289–294 (1994)

5. Chavarriga, J., García, I.A.: Existence of limit cycles for real quadratic differential systems with an invariant cubic. Pacific J. Math. 223, 201–218 (2006)

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