Chains in 3D Filippov systems: A chaotic phenomenon

• Published in: Journal de mathématiques pures et appliquées Vol. 159; pp. 168 - 195
• Main Authors: Gomide, Otávio M.L., Teixeira, Marco A.
• Format: Journal Article
• Language: English
• Published: Elsevier Masson SAS 01.03.2022
• Subjects: Filippov system; Homoclinic connection; Smale horseshoe; T-singularity; 34C37; Smale horseshoe; Homoclinic connection; 34A36; 34C45; 37G20; T-singularity; Filippov system

This work is devoted to the study of global connections between typical generic singularities, named T-singularities, in piecewise smooth dynamical systems. Such a singularity presents the so-called nonsmooth diabolo, which consists on a pair of invariant cones emanating from it. We analyze global f...