Comparative Study Between MATLAB and Scilab to Analyse Linear Piecewise Smooth Dynamical Systems

Physical systems are inherently non-linear in nature and are defined by piece-wise smooth or non-smooth functions to study and analyze bifurcation phenomena. This bifurcation phenomena could be observed in several application in every engineering and non-engineering fields. In this article, the system under consideration for study is linear piece-wise smooth discontinuous map with one parameter μ. The range of μ is calculated using an iterative algorithm in the published work and verified using MATLAB tool. Here, a different algorithm is proposed to compute range of parameter μ and verified through open-source software tool Scilab. Also, conditions on the parameter range for existence of fixed points, chaotic orbits, butterfly effect and bifurcation diagram are discussed.