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.
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.