Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877732 | Physica D: Nonlinear Phenomena | 2005 | 38 Pages |
Abstract
Parametrically driven surface gravity-capillary waves in an elliptically distorted circular cylinder are studied. In the nearly inviscid regime, the waves couple to a streaming flow driven in oscillatory viscous boundary layers. In a cylindrical container, the streaming flow couples to the spatial phase of the waves, but in a distorted cylinder, it couples to their amplitudes as well. This coupling may destabilize pure standing oscillations, and lead to complex time-dependent dynamics at onset. Among the new dynamical behavior that results are relaxation oscillations involving abrupt transitions between standing and quasiperiodic oscillations, and exhibiting 'canards'.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M. Higuera, E. Knobloch, J.M. Vega,