Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-09-20
Nonlinear Sciences
Chaotic Dynamics
27 pages with 5 figures incorporated into the text, submitted to Journal of the Acoustical Society of America, September 2001
Scientific paper
Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focussed on long-range propagation in deep ocean environments. For this class of problems, the ray equations may be simplified by making use of a one-way formulation in which the range variable appears as the independent (time-like) variable. Topics discussed include integrable and non-integrable ray systems, action-angle variables, nonlinear resonances and the KAM theorem, ray chaos, Lyapunov exponents, predictability, nondegeneracy violation, ray intensity statistics, semiclassical breakdown, wave chaos, and the connection between ray chaos and mode coupling. The Hamiltonian structure of the ray equations plays an important role in all of these topics.
Brown Michael G.
Colosi John A.
Tomsovic Steven
Virovlyansky Anatoly
Wolfson Michael A.
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