Planar systems of piecewise linear differential equations with a line of discontinuity
- 15 October 2001
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 14 (6), 1611-1632
- https://doi.org/10.1088/0951-7715/14/6/311
Abstract
Piecewise linear differential equations in 2 with a line of discontinuity and 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.Keywords
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