| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Math, Campinas 13083970, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | MATHEMATISCHE ZEITSCHRIFT; v. 294, n. 1-2, p. 419-449, FEB 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
The main purpose of this work is to provide a non-local approach to study aspects of structural stability of 3D Filippov systems. We introduce a notion of semi-local structural stability which detects when a piecewise smooth vector field is robust around the entire switching manifold, as well as, provides a complete characterization of such systems. In particular, we present some methods in the qualitative theory of piecewise smooth vector fields, which make use of geometrical analysis of the foliations generated by their orbits. Such approach displays surprisingly rich dynamical behavior which is studied in detail in this work. It is worth mentioning that this subject has not been treated in dimensions higher than two from a non-local point of view, and we hope that the approach adopted herein contributes to the understanding of structural stability for piecewise-smooth vector fields in its most global sense. (AU) | |
| FAPESP's process: | 15/22762-5 - Structural Stability of Nonsmooth Systems on Tridimensional Manifolds |
| Grantee: | Otávio Marçal Leandro Gomide |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/23716-0 - Global phenomena in piecewise smooth dynamical systems |
| Grantee: | Otávio Marçal Leandro Gomide |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |