6 papers · 1 filter
Sensitivity of ray paths to initial condition
A. Iomin, G. M. Zaslavsky
Using a parabolic equation, we consider ray propagation in a waveguide with the sound speed profile that corresponds to the dynamics of a nonlinear oscillator. An analytical consid…
Semiclassical quantization of maps with a variable time scale
A. Iomin, S. Fishman, G. M. Zaslavsky
Quantization of energy balance equations, which describe a separatrix -- like motion is presented. The method is based on an exact canonical transformation of the energy--time pair…
Pseudochaos
G. M. Zaslavsky, M. Edelman
A family of the billiard-type systems with zero Lyapunov exponent is considered as an example of dynamics which is between the regular one and chaotic mixing. This type of dynamics…
Ray dynamics in ocean acoustics
Michael G. Brown, John A. Colosi, Steven Tomsovic +3
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…
Quantum manifestation of Levy-type flights in a chaotic system
A. Iomin, G. M. Zaslavsky
Semi--classical dynamics of quantum wave packets spreading is studied for a kicked rotor. Quantum flights are established for a specific, "magic" value of a chaos control parameter…
Chaotic Advection near 3-Vortex Collapse
X. Leoncini, L. Kuznetsov, G. M. Zaslavsky
Dynamical and statistical properties of tracer advection are studied in a family of flows produced by three point-vortices of different signs. A collapse of all three vortices to a…