Classification of Filippov Type 3 Singular Points in Planar Bimodal Piecewise Smooth Systems
We classify Filippov's type 3 singular points of planar bimodal piecewise smooth systems. These singular points consist of fold or cusp tangencies of the vector fields to both sides of a switching surface. For isolated analytic type 3 singular points there are 25 topological classes, up to time reversal. For isolated general type 3 singular points there are 40 topological classes, up to time reversal.
Authors
- Martin Homer (ORCID: https://orcid.org/0000-0002-9848-1409)
- S. J. Hogan (ORCID: https://orcid.org/0000-0001-6012-6527)
- Róbert Szalai (ORCID: https://orcid.org/0000-0002-3602-2397)
- Paul Glendinning (ORCID: https://orcid.org/0000-0003-1544-9161)
- Mike R. Jeffrey (ORCID: https://orcid.org/0000-0002-3325-7211)
Institutions
- University of Manchester (GB)
- University of Bristol (GB)
Publication Details
- Journal
- SIAM Journal on Applied Dynamical Systems
- Published
- 2024-08-20
- DOI
- https://doi.org/10.1137/23m1622842
- Citations
- 2
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 2.02