Limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points

We study the existence of limit cycles in planar piecewise linear Hamiltonian systems with three zones without equilibrium points. In this scenario, we have shown that such systems have at most one crossing limit cycle

Two limit cycles in Liénard piecewise linear differential systems

Altres ajuts: ICREA Academia and FEDER-UNAB10-4E-378Some techniques for studying the existence of limit cycles for smooth differential systems are extended to continuous piecewise linear differential systems. Rigorous new results are provided on the existence of two limit cycles surrounding the equilibrium point at the origin for systems with three zones separated by two parallel straight lines without symmetry. As a relevant application, it is shown the existence of bistable regimes in an asymmetric memristor-based electronic oscillator