Control of Non Linear Oscillations in Plasma Governed by a Van Der Pol Equation

Abstract

This thesis deals with the control of non linear oscillations in plasma governed by a classical Van der Pol equation . The main interest devoted to such an investigation is that non linear oscillations in plasma is essential in industry. In chapter 1 , we present some generality on the dynamical systems . Chapter 2 is focussed on the analytical study of the Van der Pol equation in autonomous regime . The amplitude and the phase of the stable limit cycle are derived using the Averaging Method . In chapter 3 , we investigate the oscillations in plasma .