Some cubic systems with several limit cycles
- 1 November 1988
- journal article
- research article
- Published by IOP Publishing in Nonlinearity
- Vol. 1 (4) , 653-669
- https://doi.org/10.1088/0951-7715/1/4/008
Abstract
Two-dimensional systems x=P(x, y), y=Q(x,y) in which P and Q are cubic polynomials, are considered, and a number of classes with several limit cycles are described. Examples of systems with six small-amplitude limit cycles are given. Other classes of systems with several limit cycles are obtained by considering simultaneous bifurcation from a finite critical point and infinity. Simultaneous bifurcation from several critical points is investigated.Keywords
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