Piecewise-smooth slow-fast systems
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Publication:2660554
DOI10.1007/s10883-020-09480-8zbMath1465.34022arXiv1809.07612OpenAlexW3009067498MaRDI QIDQ2660554
Jaime R. de Moraes, Paulo Ricardo da Silva
Publication date: 30 March 2021
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.07612
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)
Related Items (3)
A survey on the blow-up method for fast-slow systems ⋮ Slow-fast normal forms arising from piecewise smooth vector fields ⋮ Existence of periodic orbits and chaos in a class of three-dimensional piecewise linear systems with two virtual stable node-foci
Cites Work
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- Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems
- Persistence of periodic orbits with sliding or sewing by singular perturbation
- Generic bifurcations of low codimension of planar Filippov systems
- A singular approach to discontinuous vector fields on the plane
- Small-scale instabilities in dynamical systems with sliding
- Geometric singular perturbation theory for ordinary differential equations
- Structurally stable discontinuous vector fields in the plane.
- Regularization around a generic codimension one fold-fold singularity
- Uniqueness of limit cycles for sewing planar piecewise linear systems
- 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
- On singularly perturbed Filippov systems
- Slow periodic motions with internal sliding modes in variable structure systems
- 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
- Singularly perturbed analysis of chattering in relay control systems
- Three time scale singular perturbation problems and nonsmooth dynamical systems
- Invariant manifolds
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