Bendixson's criterion for systems with non-C1 vector fields

DOI10.1017/S0308210500002444zbMath1042.34075MaRDI QIDQ4431182

Zhanyuan Hou

Publication date: 13 October 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonsmooth vector fieldsgeneralized Bendixson's criterionLozinskii normnontrivial periodic trajectoriesregion-wise linear systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (3)

On conditions for regularity of solutions for a piecewise linear system ⋮ Two types of limit cycles of a resonant converter modelled by a three-dimensional system ⋮ Some examples describing the need of modifying the Bendixson criterion for piecewise \(C^1\)-systems

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