On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria

DOI10.1007/s12346-020-00441-xzbMath1461.34027OpenAlexW3120800271MaRDI QIDQ2222378

Song-Mei Huan

Publication date: 27 January 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00441-x

zbMATH Keywords

limit cyclesimplicit functionsintersection pointsplanar piecewise linear ODEs

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items

Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics, Limit cycles in the discontinuous planar piecewise linear systems with three zones

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