On Filippov solutions of discontinuous DAEs of index 1

DOI10.1016/j.cnsns.2020.105656zbMath1468.34022OpenAlexW3113325862MaRDI QIDQ2219592

Luca Dieci, Luciano Lopez, Cinzia Elia

Publication date: 20 January 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2020.105656

zbMATH Keywords

singular perturbationdifferential-algebraic equationsdiscontinuous differential equationsFilippov theorysliding/crossing solutions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Discontinuous ordinary differential equations (34A36) Numerical methods for differential-algebraic equations (65L80) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

Numerical event location techniques in discontinuous differential algebraic equations ⋮ Isochronous attainable manifolds for piecewise smooth dynamical systems

Uses Software

• RODAS

Cites Work

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• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Modeling, simulation, sensitivity analysis, and optimization of hybrid systems
• Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems

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