Computer and Hardware Modeling of Periodically Forced ϕ6-Van der Pol Oscillator

Numerical simulation results for the dynamics of ϕ6-systems abound in the literature but their experimental results are yet to be known. This paper presents the chaotic dynamics of ϕ6-Van der Pol oscillator via electronic design, simulation, and hardware implementation. The results obtained are found to be in good agreement with numerical simulation results. The condition for stability of the fixed points is also computed and the method of multiple time scale is used to investigate the dynamical behaviour of the system. Therefore, the ϕ6-circuits which have rich dynamics and may have important applications in secure communications, random number generations, cryptography, and so forth have been practically implemented