BSU bulletin. Mathematics, Informatics
COMPARISON OF THE NUMBER OF LIMIT CYCLES OF GENERALIZED LIENARD SYSTEMS OBTAINED BY VARIOUS METHODS // BSU bulletin. Mathematics, Informatics. - 2017. №1. . - С. 10-17.
COMPARISON OF THE NUMBER OF LIMIT CYCLES OF GENERALIZED LIENARD SYSTEMS OBTAINED BY VARIOUS METHODS
The article presents the computation data for the maximum number of low- amplitude limit cycles for two types of generalized polynomial systems of differen- tial equations that formally coincide in a certain set of particular cases. The first technique is based on the method of averaging and our own algorithm for calculat- ing Lyapunov quantities computation, the second technique — on investigation of influence of small perturbations on the Hamiltonian system. Contrary to expecta- tions, various techniques in some cases give inconsistent results.
limit cycle, generalized Lienard equation, Hilbert’s 16th problem, weak focus.
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