β Scribed by M.I. Friswell; J.E.T. Penny
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A feasibility study has been carried out on a number of di!erent methods of controlling chaos in a Du$ng/Holmes oscillator. Four di!erent control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the
Higher order frequency response functions, based on the Volterra series, are employed to represent the input-output characteristics of the Duffing oscillator subject to sinusoidal excitation. From these a series representation of a first order frequency response function of the non-linear system is
The resonant conditions for the Mathieu}Du$ng oscillator are determined, and the resonant orders for the inside and outside of the generic separatrix are (M : 1) and (2M : 1) respectively. The excitation strength for the onset of a speci"c resonance in the generic separatrix band is predicted analyt