Joan Torregrosa (Universitat Autònoma de Barcelona)

Friday, May 10th, 4:00 p.m., Room 4-001

**Title: Limit cycles in piecewise linear systems**

**Abstract:**We study the number of limit cycles of planar piecewise linear

differential systems defined in two zones. We will present results in

different situations. Firstly, a general case with [n/2] limit cycles

when the separation curve is an algebraic curve of degree n. Secondly,

the case when the algebraic separation curve is a conic or a cubic.

Finally, when the switching curve is xy = 0.