Nonlinear sliding of discontinuous vector fields and singular perturbation
DOI10.1007/s12591-018-0439-1zbMath1502.34024arXiv1706.07391OpenAlexW3098242822WikidataQ129047815 ScholiaQ129047815MaRDI QIDQ2155475
Ingrid S. Meza-Sarmiento, Douglas Duarte Novaes, Paulo Ricardo da Silva
Publication date: 15 July 2022
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.07391
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)
Related Items (3)
Cites Work
- Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems
- Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
- Generic bifurcations of low codimension of planar Filippov systems
- A singular approach to discontinuous vector fields on the plane
- Geometric singular perturbation theory for ordinary differential equations
- Sliding modes in control and optimization. Transl. from the Russian
- Regularization of discontinuous vector fields in dimension three
- Piecewise-smooth dynamical systems. Theory and applications
- Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
- Regularization of hidden dynamics in piecewise smooth flows
- Sliding vector fields via slow-fast systems
- Hidden dynamics in models of discontinuity and switching
- Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
- Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup
- Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
- One-Parameter Bifurcations in Planar Filippov Systems
- Canard cycles and center manifolds
- Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
- On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$
- Relaxation oscillation and canard explosion
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Nonlinear sliding of discontinuous vector fields and singular perturbation