title: Homoclinic connections and period doublings of a ship advancing in quartering waves.
abstract: The large-amplitude motions of a ship running in waves are analyzed with a mathematical model reduced to a system of eight coupled nonlinear ordinary differential equations. Bifurcation analysis in relation to the surf-riding condition, with control parameter the angle of the rudder, shows the existence of a region of oscillatory behavior, containing also a chaotic domain. This region ends with a homoclinic connection and a dangerous jump toward the overtaking-wave mode, which can incur ship capsize. Addition of linear control removes the chaotic domain while giving rise to new regions of oscillation. (c) 1996 American Institute of Physics.
authors.affiliation: National Research Institute of Fisheries Engineering, Ebidai, Hasaki, Kashima, Ibaraki, 314-04, Japan.
authors.forename: K. J.
authors.initials: KJ
authors.lastname: Spyrou