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Remarks on a class of generalized Liénard planar systems
Villari, Gabriele
Zanolin, Fabio
2021
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e-ISBN
2464-8728
Abstract
We continue the recent investigation [40] about the qualitative properties of the solutions for a class of generalized Liénard systems of the form ẋ = y − F (x, y), ẏ = −g(x). We present some results on the existence/non-existence of limit cycles depending on different growth assumptions of F (·, y). The case of asymmetric conditions at infinity for g(x) and F (x, ·) is also examined. In the second part of the article we consider also a bifurcation result for small limit cycles as well as we discuss the complex dynamics associated to a periodically perturbed reversible system.
Publisher
EUT Edizioni Università di Trieste
Source
Gabriele Villari, Fabio Zanolin, "Remarks on a class of generalized Liénard planar systems" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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