Piecewise implicit differential systems

DOI10.1007/s10884-016-9538-2zbMath1391.34022OpenAlexW2475017074MaRDI QIDQ1692104

Marco Antonio Teixeira, Bruno D. Lopes, Paulo Ricardo da Silva

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/168710

zbMATH Keywords

singular perturbationimplicit differential equationnon-smooth dynamical systemsliding vector fields

Mathematics Subject Classification ID

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

Cites Work

• A singular approach to discontinuous vector fields on the plane
• Generic singularities of implicit systems of first order differential equations on the plane
• Geometric singular perturbation theory for ordinary differential equations
• Regularization of discontinuous vector fields in dimension three
• Grazing bifurcations and basins of attraction in an impact-friction oscillator
• Piecewise-smooth dynamical systems. Theory and applications
• The complementarity class of hybrid dynamical systems
• Sliding vector fields via slow-fast systems
• Regularization of discontinuous vector fields on \({\mathbb{R}^3}\) via singular perturbation
• Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
• Duality and implicit differential equations
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