Títol:
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Three nested limit cycles in discontinuous piecewise linear differential systems with two zones
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Autor/a:
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Llibre, Jaume; Ponce, Enrique
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Abstract:
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El títol de la versió pre-print de l'article és: Three limit cycles in discontinuous piecewise linear differential systems with two zones |
Abstract:
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In this paper we study a planar piecewise linear differential system formed by two regions separated by a straight line so that one system has a real unstable focus and the other a virtual stable focus which coincides with the real one. This system was introduced by S.-M. Huan and X.-S. Yang in [8] who numerically showed that it can exhibit 3 limit cycles surrounding the real focus. This is the first example that a non-smooth piecewise linear differential system with two zones can have 3 limit cycles surrounding a unique equilibrium. We provide a rigorous proof of this numerical result. |
Data de publicació:
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09-09-2021 |
Matèries:
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-Non-smooth differential system -Limit cycle -Piecewise linear differential system |
Drets:
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open access
Tots els drets reservats.
https://rightsstatements.org/vocab/InC/1.0/ |
Tipus de document:
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Article |
Publicat per:
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Compartir:
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Uri:
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https://ddd.uab.cat/record/150531
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