On the Qualitative Behavior of a Class of Generalized Liénard Planar Systems

2 December 2022
Start time 
10:00 am
PovoZero - Via Sommarive 14, Povo (Trento)
Room 7
Department of Mathematics
Target audience: 
University community
Contact person: 
Prof. Marco Sabatini
Contact details: 
Staff Dipartimento di Matematica
Gabriele Villari (Università di Firenze)


We study the problem of existence/nonexistence of limit cycles for a class of Liénard generalized differential systems in which, differently from the most investigated case, the function F depends not only on x but also on the y-variable. In this framework, some new results are presented, starting from a case study which, actually, already exhibits the most significant properties. In particular, the so-called “superlinear case” presents some new phenomena of escaping orbits which will be discussed in detail.