Markus–Yamabe conjecture for planar piecewise linear refracting system

J Zhechen, L Shimin - Nonlinear Dynamics, 2024 - Springer
Abstract The Markus–Yamabe conjecture states that if a differential system z˙= F (z), where
F∈ C 1 (R n), has a unique equilibrium point and all eigenvalues of the Jacobian matrix of F …

Four crossing limit cycles of a family of discontinuous piecewise linear systems with three zones separated by two parallel straight lines

A Berbache, I Tababouchet - Boletín de la Sociedad Matemática Mexicana, 2024 - Springer
In this paper, we study the maximum number of limit cycles that can exhibit a planar
discontinuous piecewise differential system separated by two parallel straight lines and …