Stochastic stabilization of uncontrolled and controlled Duffing–van der Pol systems under Gaussian white-noise excitation

An analytical approach to investigate th

An analytical approach to investigate the response and stability of Van der Pol–Mathieu–Duffing oscillators under different excitation functions

✍ A. Kimiaeifar 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 195 KB

In this paper the chaotic behavior of Van der Pol-Mathieu-Duffing oscillator under different excitation functions is studied. Governing equation is solved analytically using a powerful kind of analytic technique for nonlinear problems, namely the 'homotopy analysis method', for the first time. Prese