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http://dx.doi.org/10.1103/physreva.33.2775 | DOI Listing |
J Chem Phys
March 2023
Univ. Bordeaux, CNRS, Bordeaux INP, ISM, UMR 5255, F-33400 Talence, France.
As shown by W. H. Miller in a seminal article [J.
View Article and Find Full Text PDFJ Chem Phys
November 2020
CNRS, ISM, UMR 5255, F-33400 Talence, France.
The initial value representation (IVR) was proposed five decades ago by Miller [J. Chem. Phys.
View Article and Find Full Text PDFPhys Rev E
October 2019
Institute of Coastal Research, Helmholtz-Zentrum Geesthacht, Geesthacht 21502, Germany.
A minimal model of linearized two-dimensional shear instabilities can be formulated in terms of an action-at-a-distance, phase-locking resonance between two vorticity waves, which propagate counter to their local mean flow as well as counter to each other. Here we analyze the prototype of this interaction as an autonomous, nonlinear dynamical system. The wave interaction equations can be written in a generalized Hamiltonian action-angle form.
View Article and Find Full Text PDFJ Acoust Soc Am
May 2003
Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida 33149, USA.
Recent results relating to ray dynamics in ocean acoustics are reviewed. Attention is focused 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 (timelike) variable.
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