S. Murashige et K. Aihara, COEXISTENCE OF PERIODIC ROLL MOTION AND CHAOTIC ONE IN A FORCED FLOODED SHIP, International journal of bifurcation and chaos in applied sciences and engineering, 8(3), 1998, pp. 619-626
This letter describes the coexistence of periodic and chaotic roll mot
ion of a flooded ship in waves. We found experimentally, both with a f
looded ferry model and with a simplified box-shaped model, that the tw
o types of roll motion can coexist under the same wave condition. A tr
ajectory reconstructed in a delay-coordinate state space from the time
series data of the measured roll angle looks like a low-dimensional s
trange attractor. Moreover, a mathematical model for the simplified bo
x-shaped ship shows the coexistence of a periodic solution and a chaot
ic one with a positive maximum Liapunov exponent.