Planar systems of piecewise linear differential equations with a line of discontinuity

摘要

Piecewise linear differential equations in R-2 with a line of discontinuity and Z(2)-symmetry are investigated. Using the theory of differential inclusions and the method of point transformation a complete analysis is provided including uniqueness and non-uniqueness for the initial-value problem, stability and geometrical properties of equilibrium points, existence of sliding motion solutions, number and stability of periodic trajectories and existence of homoclinic solutions. [References: 19]