In:
The Journal of the Acoustical Society of America, Acoustical Society of America (ASA), Vol. 84, No. S1 ( 1988-11-01), p. S152-S152
Kurzfassung:
The ray equation for shallow water sound propagation in a “topless” ocean over a sinusoidal bottom can, under certain circumstances, be reduced to the area preserving standard mapping [F. D. Tappert and M. G. Brown, J. Acoust. Soc. Am. Suppl. 1 83, S37 (1988)]. For ray paths interacting with a flat sea surface and the ocean bottom, the Poincaré sections and the Lyapunov exponents evidence the chaotic behavior of the mapping. Numerical results show the sensitivity of the equations to changes in the environmental and initial conditions. The mapping dependence on the stochasticity parameter K (environment) and on the initial conditions is studied. For any nonzero value of K it can be shown that there exists a chaotic behavior (hyperchaos), in contrast to the critical value of K, Kc ≅ 0.97, for a “topless” ocean, under which no chaotic behavior is observed.
Materialart:
Online-Ressource
ISSN:
0001-4966
,
1520-8524
Sprache:
Englisch
Verlag:
Acoustical Society of America (ASA)
Publikationsdatum:
1988
ZDB Id:
1461063-2
