On the existence of limit cycles and invariant surfaces of sewing piecewise linear differential systems on $\mathbb{R}^3$

Date:
03.12.18
Times:
15:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
We consider a class of discontinuous piecewise linear differential systems in $\mathbb{R}^3$ with two pieces separated by a plane. In this class we show that there exist differential systems having: (i) a unique limit cycle, (ii) a unique one-parameter family of periodic orbits, (iii) scrolls, (iv) invariant cylinders foliated by orbits which can be periodic or no.