Poincaré-Hopf theorem for Filippov vector fields on 2-dimensional compact manifolds
DOI10.3934/CPAA.2024066MaRDI QIDQ6635628
Douglas D. Novaes, Joyce A. Casimiro, Ricardo Miranda Martins
Publication date: 12 November 2024
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
piecewise smooth vector fieldsPoincaré-Hopf theoremFilippov vector fieldsindex of singularitiesHairy Ball theorem
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Degree, winding number (55M25) Index theory and related fixed-point theorems on manifolds (58J20) Discontinuous ordinary differential equations (34A36) Ordinary differential equations and systems on manifolds (34C40) Index theory for dynamical systems, Morse-Conley indices (37B30)
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