Two types of limit cycles of a resonant converter modelled by a three-dimensional system
type: Item
instance of: scholarly article
title: Two types of limit cycles of a resonant converter modelled by a three-dimensional system
zbMATH Open document ID: 1163.93312
author: Jan Melin
author: Anders Hultgren
author: Torsten Lindström
published in: Nonlinear Analysis. Hybrid Systems
publication date: 2009-06-24T00:00:00Z
full work available at URL: http://urn.kb.se/resolve
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B12
zbMATH DE Number: 5569653
zbMATH Keywords: piecewise linear system
zbMATH Keywords: plane
zbMATH Keywords: subspace
zbMATH Keywords: limit cycle
zbMATH Keywords: projection
MaRDI profile type: Publication
OpenAlex ID: W2071275991
cites work: Computation and stability of limit cycles in hybrid systems
cites work: Feedback control of limit cycles: a switching control strategy based on nonsmooth bifurcation theory
cites work: Q3994508
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q4067388
cites work: Q3999037
cites work: Bendixson's criterion for systems with non-C1 vector fields
cites work: A Geometric Approach to Global-Stability Problems
cites work: On Bendixson's criterion
cites work: Does distribution theory contain means for extending Poincaré-Bendixson theory?
cites work: Some examples describing the need of modifying the Bendixson criterion for piecewise \(C^1\)-systems
cites work: On conditions for regularity of solutions for a piecewise linear system
cites work: Q4834372
cites work: Limit cycles and chaotic invariant sets in autonomous hybrid planar systems
cites work: Q3715459
cites work: Q4004269
DOI: 10.1016/J.NAHS.2008.09.020
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description: scientific article; zbMATH DE number 5569653