After giving a new proof of the existence of a stable limit cycle for the relativistic Van der Pol equation, we find sufficient conditions upon f and g in order that the relativistic Liénard equation has a stable limit cycle. The approach and the existence conditions are distinct from those recently obtained by Perez-Gonzalez, Torregrosa and Torres
Periodic solutions of some autonomous Liénard equations with relativistic acceleration / Mawhin, Jean; Villari, Gabriele. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 160:(2017), pp. 16-24. [10.1016/j.na.2017.05.001]
Periodic solutions of some autonomous Liénard equations with relativistic acceleration
VILLARI, GABRIELE
2017
Abstract
After giving a new proof of the existence of a stable limit cycle for the relativistic Van der Pol equation, we find sufficient conditions upon f and g in order that the relativistic Liénard equation has a stable limit cycle. The approach and the existence conditions are distinct from those recently obtained by Perez-Gonzalez, Torregrosa and Torres
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