On singularly perturbed Filippov systems. (English) Zbl 1320.34022
Summary: We study singularly perturbed Filippov systems. More specifically, our main question is to know how the dynamics of Filippov systems is affected by singular perturbations. We extend the Fenichel theory developed by N. Fenichel [J. Differ. Equations 31, 53–98 (1979; Zbl 0476.34034)] to these systems. In addition, the study of non-smooth constrained systems is considered.
MSC:
| 34A36 | Discontinuous ordinary differential equations |
| 34E15 | Singular perturbations for ordinary differential equations |
| 34A26 | Geometric methods in ordinary differential equations |
Citations:
Zbl 0476.34034References:
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