Freddy Dumortier - Limit cycles in Liénard equations

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Freddy Dumortier - Limit cycles in Liénard equations

FREDDY DUMORTIER, Limburgs Universitair Centrum, Diepenbeek, Belgium

Limit cycles in Liénard equations

The talk will deal with (generalized) polynomial Liénard equations, i.e. 2-dimensional differential equations coming from second order scalar equations $\frac{d^2 x}{dt^2} + P(x) \frac{d x}{dt} + Q(x)=0$ , with P and Q polynomials. Depending on the degree of Pand Q there are results concerning the number of limit cycles which such systems can have in the phase plane. We will present some of these results and discuss some open problems.