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Zbl 0811.34030
Wang, Duo; Mao, Rei
Improved K-K algorithm for computing Lyapunov values. (English)
[J] Tatra Mt. Math. Publ. 4, 235-242 (1994). ISSN 1210-3195

The classical center-focus problem in the plane is investigated. A modified algorithm is given for the calculation of the Lyapunov values (i.e. coefficients of the radial terms in the normal form). In case of 3 presented examples some of these values are calculated by computer algebra. The new method needs less computer time and memory than the one proposed by {\it V. Kertész} and {\it R. E. Kooij} [Nonlinear Anal., Theory Methods Appl. 17, No. 3, 267-283 (1991; Zbl 0735.34031)]. The results can be used among others in Hopf-type bifurcation problems and in construction of planar systems with a large number of periodic orbits.
[P.F.Moson (Budapest)]

MSC 2000:: *34C23 Bifurcation (periodic solutions)
68W30 Symbolic computation and algebraic computation
37G99 Bifurcation theory

Keywords: center-focus problem in the plane; Lyapunov values; normal form; computer algebra; Hopf-type bifurcation problems; periodic orbits

Citations: Zbl 0735.34031

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