COEXISTENCE OF PERIODIC ROLL MOTION AND CHAOTIC ONE IN A FORCED FLOODED SHIP

Citation
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
Citations number
7
Categorie Soggetti
Mathematics,Mathematics,"Multidisciplinary Sciences
ISSN journal
02181274
Volume
8
Issue
3
Year of publication
1998
Pages
619 - 626
Database
ISI
SICI code
0218-1274(1998)8:3<619:COPRMA>2.0.ZU;2-6
Abstract
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.