Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
type: Item
instance of: scholarly article
title: Hopf and homoclinic bifurcations on the sliding vector field of switching systems in \(\mathbb{R}^3\): a case study in power electronics
zbMATH Open document ID: 1415.93133
author: Rony Cristiano
author: Tiago de Carvalho
author: Durval J. Tonon
author: Daniel J. Pagano
published in: Physica D
publication date: 2019-07-01T00:00:00Z
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 7075327
zbMATH Keywords: Filippov systems
zbMATH Keywords: sliding Hopf bifurcation
zbMATH Keywords: sliding homoclinic bifurcation
zbMATH Keywords: boost converter
zbMATH Keywords: sliding mode control
MaRDI profile type: Publication
full work available at URL: j.physd.2017.02.005
OpenAlex ID: W2590290879
cites work: Piecewise-smooth dynamical systems. Theory and applications
cites work: Q3994508
cites work: The Two-Fold Singularity of Discontinuous Vector Fields
cites work: Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
cites work: Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
cites work: PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY
cites work: Teixeira singularities in 3D switched feedback control systems
cites work: Elements of applied bifurcation theory.
cites work: Q5424098
cites work: Q2706801
cites work: Stability, Instability and Chaos
cites work: On the fold-Hopf bifurcation for continuous piecewise linear differential systems with symmetry
cites work: Homoclinic bifurcations in planar piecewise-linear systems
cites work: Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems
cites work: Andronov-Hopf bifurcations in planar, piecewise-smooth, continuous flows
cites work: Two Degenerate Boundary Equilibrium Bifurcations in Planar Filippov Systems
cites work: One-Parameter Bifurcations in Planar Filippov Systems
cites work: Bifurcation and chaos near sliding homoclinics
cites work: ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS — THE FOLD–SADDLE SINGULARITY
cites work: Bifurcation analysis of a DC-DC bidirectional power converter operating with constant power loads
cites work: Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields
cites work: Global Families of Limit Cycles of Planar Analytic Systems
cites work: Multiple limit cycle bifurcation surfaces and global families of multiple limit cycles
cites work: Detection of attraction domains of non-linear systems using bifurcation analysis and Lyapunov functions
DOI: 10.1016/J.PHYSD.2017.02.005
description: scientific article; zbMATH DE number 7075327