Chaotic Behavior of Coastal Currents Due to Random Wind Forcing.
Chaotic Behavior of Coastal Currents Due to Random Wind
Oceanic Engineering Society of the Institute of
Electrical and Electronics Engineers, Inc. by the
Societe des Electriciens et Electroniciens de France,
and by la Communaute Urbaine de Brest. OCEANS 94.
Oceans Engineering for Today's Technology and Tomorrow'
Preservation. Proceedings. Volume 3. 1994, III/11-16
chaotic behavior; wind velocity; coastal currents; wind
forcing; analytical models; equations; melnikov
Recent analyses revealed that chaotic behavior is
possible in a model of currents induced by wind over
topography that slopes offshore and varies approximately
periodically alongshore. These analyses were based on
the assumption that the forcing by wind is harmonic. We
examine the more realistic case where the wind field,
and therefore the wind forcing, is random. Given a wind
field with specified spectral density, and any specified
parameters of the bottom topography, we use a
generalized Melnikov transform technique to estimate
upper bounds for probabilities that chaotic excursions
will occur during a specified time interval.