On structural stability of 3D Filippov systems A semi-local approach

• Published in: Mathematische Zeitschrift Vol. 294; no. 1-2; pp. 419 - 449
• Main Authors: Gomide, Otávio M. L., Teixeira, Marco A.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2020
• Subjects: Mathematics; Mathematics and Statistics; Nonsmooth dynamics; Structural stability; 37C20; 37C75; 37C10; 3-manifold; Filippov systems; 37C15

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, pr...