Computer and Hardware Modeling of Duffing-Van Der Pol Oscillator Equation

In this study, we present the solution that is known in order to deal with non-trivial solutions of the Duffing-Van der Pol oscillator equation. Firstly, it is demonstrated that Duffing-Van der Pol oscillator equation can be linearized. Then, it is linearized using a feasible algorithm and additionally, the symmetries of the equation are found. With helping these symmetries, the analytic solutions of the equation are obtained using a new algorithm. Moreover, these solutions are classified as respect to the physical meaning of functions. Finally, modern applications and modeling with Duffing-Van der Pol oscillator are emphasized. All diagrams and solutions have been made with Mathematica and C++ programming language.

Keywords:

Feasible Algorithm , Differential equations , Symmetries , Duffing-Van der Pol Oscillator equation