On the number of limit cycles in piecewise linear Liénard systems
Abstract
In a previous paper [Tonnelier, 2002] we conjectured that a Liénard system of the form x' = p(x) − y, y' = x where p is piecewise linear on n + 1 intervals has up to 2n limit cycles. We construct here a general class of functions p satisfying this conjecture. Limit cycles are obtained from the bifurcation of the linear center.
Domains
Dynamical Systems [math.DS]
Origin : Files produced by the author(s)
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