Slow-fast normal forms arising from piecewise smooth vector fields
DOI10.1007/s10883-023-09657-xarXiv2205.02263OpenAlexW4384522085MaRDI QIDQ6145763
Paulo Ricardo da Silva, Otavio Henrique Perez, Gabriel Rondón
Publication date: 9 January 2024
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.02263
geometric singular perturbation theorypiecewise smooth vector fieldstransition functionregularization of piecewise smooth vector fields
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15) Approximations and expansions (41A99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple time scale dynamics
- 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
- Normally hyperbolic invariant manifolds in dynamical systems
- Nonlinear sliding of discontinuous vector fields and singular perturbation
- Geometric singular perturbation theory in biological practice
- 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
- Piecewise-smooth slow-fast systems
- Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
- Extending slow manifolds near transcritical and pitchfork singularities
- One-Parameter Bifurcations in Planar Filippov Systems
- On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$
- Fenichel Theory for Multiple Time Scale Singular Perturbation Problems
This page was built for publication: Slow-fast normal forms arising from piecewise smooth vector fields
