STRATEGIES FOR THE CONTROL OF CHAOS IN A DUFFING–HOLMES OSCILLATOR

A feasibility study has been carried out on a number of different methods of controlling chaos in a Duffing/Holmes oscillator. Four different control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the methods. The results for these orbits are presented in the body of the paper. Some supplementary results for the stabilisation of other orbits are gathered in an appendix. Comparisons have been made in terms of control effort, ease of use and applicability to an experimental system.