http://system.lm-ns.org/index.php/lm-ns/issue/feedLIBERTAS MATHEMATICA (new series)2023-09-27T00:34:50+00:00LM-NS Secretariatsecretariat@lm-ns.orgOpen Journal SystemsThis is the submission and reviewing management system. For the journal information please see <a href="http://www.lm-ns.org">http://www.lm-ns.org</a>http://system.lm-ns.org/index.php/lm-ns/article/view/1483Chaotic Dynamics in a Class of Switched Li\'{e}nard/Rayleigh Systems with Relativistic Acceleration2023-09-27T00:34:49+00:00Duccio Papiniduccio.papini@uniud.itGabriele Villarigabriele.villari@unifi.itFabio Zanolinfabio.zanolin@uniud.itWe consider a class of time-periodic switched systems, which are obtained as a perturbation of a planar autonomous reversible system by a periodic forcing term. The model is motivated by an extension of the classical Li\'{e}nard and Rayleigh equations due to the presence of a relativistic acceleration. Using recent results from the theory of topological horseshoes, we provide a new result of existence of infinitely many subharmonic solutions, as well as more complex dynamics, as illustrated by some numerical examples.2023-09-26T16:36:46+00:00