Sliding vector fields via slow-fast systems
From MaRDI portal
Publication:2519143
zbMath1166.34001MaRDI QIDQ2519143
Jaume Llibre, Marco Antonio Teixeira, Paulo Ricardo da Silva
Publication date: 22 January 2009
Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bbms/1228486412
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)
Related Items (24)
Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity ⋮ Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup ⋮ Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics ⋮ Hidden Degeneracies in Piecewise Smooth Dynamical Systems ⋮ Nonlinear sliding of discontinuous vector fields and singular perturbation ⋮ Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane ⋮ Piecewise-smooth slow-fast systems ⋮ Contraction analysis of switched systems via regularization ⋮ Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory ⋮ Piecewise implicit differential systems ⋮ Slow-fast normal forms arising from piecewise smooth vector fields ⋮ Canards in Stiction: On Solutions of a Friction Oscillator by Regularization ⋮ Synchronization and non-smooth dynamical systems ⋮ Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems ⋮ A Stiction Oscillator with Canards: On Piecewise Smooth Nonuniqueness and Its Resolution by Regularization Using Geometric Singular Perturbation Theory ⋮ Limit cycles for regularized piecewise smooth systems with a switching manifold of codimension two ⋮ Singularly perturbed boundary-focus bifurcations ⋮ Regularization of hidden dynamics in piecewise smooth flows ⋮ Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two ⋮ Hidden dynamics for piecewise smooth maps ⋮ Slow–fast systems and sliding on codimension 2 switching manifolds ⋮ On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$ ⋮ A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup
This page was built for publication: Sliding vector fields via slow-fast systems