Linear feedback and parametric controls of vibrations and chaotic escape in a φ6 potential

The control of vibration amplitude and chaotic escape of an harmonically excited particle in a single well Phi(6) potential is considered. The linear feedback and parametric control strategies are used. The control efficiency on amplitude is found by analysing the behaviour of the amplitude of the controlled system as compared to that of the uncontrolled system. The conditions for inhibition of the chaotic escape are obtained by means of the Melnikov method. (C) 2002 Elsevier Science Ltd. All rights reserved.