Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems

DOI10.1016/j.physd.2019.132293zbMath1493.37060OpenAlexW2996578864WikidataQ126619664 ScholiaQ126619664MaRDI QIDQ2115357

Rony Cristiano, Tiago de Carvalho, Durval José Tonon, Daniel Juan Pagano

Publication date: 15 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2019.132293

zbMATH Keywords

bifurcationinvariant manifoldsfirst return mapTeixeira singularitysliding vector fielddiscontinuous piecewise-smooth systems

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of singular points in dynamical systems (37G10)

Related Items (1)

Degenerate T-singularity bifurcation and crossing periodic orbits in a 3-dimensional piecewise smooth system

Cites Work

• Unnamed Item
• Unnamed Item
• On topological stability of divergent diagrams of folds
• Generic bifurcation of sliding vector fields
• Stability conditions for discontinuous vector fields
• Stability conditions in piecewise smooth dynamical systems at a two-fold singularity
• An approximate analysis of dry-friction-induced stick-slip vibrations by a smoothing procedure
• Bifurcation Analysis of a DC–DC Bidirectional Power Converter Operating with Constant Power Loads
• Nondeterministic Chaos, and the Two-fold Singularity in Piecewise Smooth Flows
• The Two-Fold Singularity of Discontinuous Vector Fields
• Revisiting the Teixeira Singularity Bifurcation Analysis: Application to the Control of Power Converters
• PIECEWISE SMOOTH REVERSIBLE DYNAMICAL SYSTEMS AT A TWO-FOLD SINGULARITY

This page was built for publication: Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems