On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center

Jaume Llibre and Tayeb Salhi

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: While the limit cycles of the discontinuous piecewise differential systems formed by two linear differential systems separated by one straight line have been studied intensively, and up to now there are examples of these systems with at most 3 limit cycles. There are almost no works studying the limit cycles of the discontinuous piecewise differential systems formed by one linear differential system and a quadratic polynomial differential system separated by one straight line.

Keywords: Linear focus; Linear center; Quadratic weak focus; Quadratic center; Limit cycle; Discontinuous piecewise differential system (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004660

DOI: 10.1016/j.chaos.2022.112256

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