Abstract
In this paper, we investigate the use of delayed feedback to control the chaotic roll motion of a flooded ship in waves. The dynamics of the roll motion is described by four–dimensional non–autonomous equations reflecting the interaction between the ship body and flooded water. A small periodic orbit was stabilized from a large chaotic attractor by applying delayed feedback to the model equations. The chaotic attractor and the periodic orbit correspond to heavy complicated roll motion and light simple roll motion close to the static balance between the ship and water, respectively. The achieved motion is very desirable from the viewpoint of the naval architecture engineer. We also analysed the dependence of the periodic–orbit stabilization on parameters controlling the chaotic roll motion.
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More From: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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