Electromagnetic Field in the Chaotic Motion of Thin Plate
Based on the vibration equation of beam plate, under mechanical loading in a uniform transverse magnetic field, the vibration equation of the conductive beam plate is reduced to two cases ,which is no-pertubation system and pertubation system. For pertubation system ,n-order harmonic orbit is given by means of the Melnikov method. Finally, the critical condition of chaos phenomena is given in the transformation of Smale horseshoe.
L. J. Liu et al., "Electromagnetic Field in the Chaotic Motion of Thin Plate", Advanced Materials Research, Vols. 163-167, pp. 3114-3117, 2011