Introduction to the Modeling and Analysis of Complex Systems

50 CHAPTER 4. DISCRETE-TIME MODELS I: MODELINGanother way of visualizing simulation results in a phase space. If your model involves justtwo state variables (or three if you know 3-D plotting), you should try this visualization tosee the structure of the phase space. All you need to do is to replace the following partCode 4.14:plot(xresult)plot(yresult)with this:Code 4.15: oscillation-correct-phasespace.pyplot(xresult, yresult)This will produce a trajectory of the system state in an x-y phase space, which clearlyshows that the system is in an oval, periodic oscillation (Fig. 4.4), which is a typical signatureof a linear system.1.51.00.50.00.51.01.52.0 1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0Figure 4.4: Visualization of the simulation result in a phase space using Code 4.15.