On singularly perturbed Filippov systems

DOI10.1017/S0956792513000211zbMath1320.34022OpenAlexW2123854812MaRDI QIDQ2870986

Marco Antonio Teixeira, Paulo Ricardo da Silva, Pedro Toniol Cardin

Publication date: 21 January 2014

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792513000211

zbMATH Keywords

singular perturbationsliding modeconstrained systemsFilippov systemsimpasse set

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Discontinuous ordinary differential equations (34A36) Singular perturbations for ordinary differential equations (34E15)

Related Items (5)

Dimension reduction for slow-fast, piecewise-linear ODEs and obstacles to a general theory ⋮ Piecewise-smooth slow-fast systems ⋮ Singular impasse points of planar constrained differential systems ⋮ Persistence of periodic orbits with sliding or sewing by singular perturbation ⋮ Model reduction of non-densely defined piecewise-smooth systems in Banach spaces

Cites Work

• Geometric singular perturbation theory for ordinary differential equations
• On impasse points of quasilinear differential-algebraic equations
• Implicit differential equations with impasse singularities and singular perturbation problems
• Application of the boundary function method for finding slow periodic solutions of singularly perturbed bang-bang systems
• Local normal forms for constrained systems on 2-manifolds

This page was built for publication: On singularly perturbed Filippov systems