Small-amplitude limit cycles of certain Liénard systems
- 8 July 1988
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 418 (1854) , 199-208
- https://doi.org/10.1098/rspa.1988.0079
Abstract
The paper is concerned with the number of limit cycles of systems of the form ẋ = y–F(x), ẏ = –g(x), where F and g are polynomials. For several classes of such systems, the maximum number of limit cycles that can bifurcate out of a critical point under perturbation of the coefficients in F and g is obtained (in terms of the degree of F and g).Keywords
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