On the Poincaré-Lyapunov constants and the Poincare series

• Autorzy: Jaume Giné , Xavier Santallusia
• Języki publikacji: EN

Abstrakty

EN

For an arbitrary analytic system which has a linear center at the origin we compute recursively all its Poincare-Lyapunov constants in terms of the coefficients of the system, giving an answer to the classical center problem. We also compute the coefficients of the Poincare series in terms of the same coefficients. The algorithm for these computations has an easy implementation. Our method does not need the computation of any definite or indefinite integral. We apply the algorithm to some polynomial differential systems.

Kategorie tematyczne

• 34A05: Explicit solutions and reductions
• 34C05: Location of integral curves, singular points, limit cycles
• 34C25: Periodic solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2001
• Tom: 28
• Numer: 1
• Strony: 17-30

Daty

wydano

2001

Twórcy

autor

Jaume Giné

• Departament de Matematica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain

autor

Xavier Santallusia

• Departament de Matematica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Spain

Identyfikatory

DOI

10.4064/am28-1-2