Center Conditions for Polynomial Liénard Systems

• Jaume Giné ^[1]
  1. [1] Universitat de Lleida

     Universitat de Lleida

     Lérida, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 16, Nº 1, 2017, págs. 119-126
• Idioma: inglés
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• Resumen

  • In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for n = 5 and using modular arithmetics and Gröbner bases for n = 6. We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.