Phase Plane Analysis based on Object-Oriented Approach

Through phase plane analysis, a nonlinear system is defined on the phase plane, and the solution is obtained as a trajectory. Based on the idea that the relationship between the nonlinear system and its solution could be compared with the relationship between class and instance of object-oriented systems, a simulation program for the phase plane analysis was written in the programming language TAO. Simple oscillation, damped oscillation, and self-sustained oscillation of Van der Pol equation, Rayleigh equation, and the stick-slip oscillation were implemented in that program. Compared with the existing functional programming approach, the effectiveness of object-oriented phase plane analysis for nonlinear vibration was discussed and proven through the program.