Ray dynamics in ocean acoustics
Michael G. Brown, John A. Colosi, Steven Tomsovic, Anatoly Virovlyansky, Michael A. Wolfson, George M. Zaslavsky
Abstract
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.
Create a lesson
Related papers
A Second-Order Asymptotic Expansion for Nonlinear Filtering in the Lorenz--63 System
Masahiro Kurisaki, Kota Takeda
Heterogeneity-induced chaos in globally coupled Stuart--Landau oscillators
Luekai Zhao, Nariya Uchida
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana et al.
A Renormalization-Group Hierarchy of Stochastic Effective Dynamics Learned through Path Integrals
Yuki Yasuda, Tobias Bischoff
ETM-3D: A One-Parameter Multistable Quadratic Flow with an Explicit Absorbing Set and Intermittent Chaos
Roya Khalili-Amirabadi, Mohsen Jalaeian-Farimani
Influence of astrocyte feedback and noise on breathing neural clusters
Ediline L. F. Nguessap, Thierry Njougouo, Fernando F. Ferreira