CONTINUOUS APPROXIMATION OF THE COMPLEX
DYNAMICS OF A DISCONTINUOUS SYSTEM
A continuous approximation of a second-order, piecewise-linear system, modeled as a discontinuous system, is presented. The discontinuous system includes a signum function, approximated by a saturation-type function, whose complex dynamics is analyzed based on some recent results. A numerical comparison between the analytical solutions of both systems shows the accuracy of the approximation.
CYBERNETICS AND PHYSICS, VOL. 1, NO. 1, 2012, 11-16.