Coexistence of limit cycles and invariant algebraic curves for a Kukles system

Author:

Chavarriga J.,Sáez E.,Szántó I.,Grau M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference17 articles.

1. A.A. Andronov, E.A. Leontovich, I.I. Gordon, A.G. Maı˘er, Qualitative theory of second-order dynamic systems. Translated from the Russian by D. Louvish. Halsted Press (A division of John Wiley & Sons), New York-Toronto, Ont.; Israel Program for Scientific Translations, Jerusalem-London, 1973.

2. The number of limit cycles of certain polynomial differential equations;Blows;Proc. Roy. Soc. Edinburgh, Sect. A,1984

3. Invariant algebraic curves and rational first integrals for planar polynomial vector fields;Chavarriga;J. Differential Equations,2001

4. On a result of Darboux;Chavarriga;LMS J. Comput. Math.,2001

5. On the paper of X. Jin and D. Wang, concerning the conditions for a centre in certain cubic systems;Christopher;Bull. London Math. Soc.,1990

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