On the Number of Limit Cycles in Piecewise-Linear Liénard Systems

نویسنده

  • Arnaud Tonnelier
چکیده

In a previous paper [Tonnelier, 2002] we conjectured that a Liénard system of the form ẋ = p(x) − y, ẏ = 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.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2005