Chaos and intermittent bursting in a reaction-diffusion process.
Karhunen-Loeve decomposition is done on a chaotic spatio-temporal solution obtained from a nonlinear reaction-diffusion model of a chemical system simulating a chemical process in an open Couette-flow reactor. Using a Galerkin projection of the dominant Karhunen-Loeve modes back onto the nonlinear partial differential system, we obtain an ordinary differential equation model of the same process. Major features such as intermittent and chaotic bursting of the nonlinear process as well as the mechanism of transition to chaos are shown to exist in the low-dimensional model as well as the PDE model. From the low-dimensional model the onset of intermittent bursts followed by small amplitude oscillations is shown to arise due to a sequence of saddle-node bifurcations.
Schwartz
Ira B.
IB
Special Project in Nonlinear Science, U.S. Naval Research Laboratory Code 6700.3, Plasma Physics Division, Washington, D.C. 20375-5000Science Applications International, Corporation, Applied Physics Operation, McLean, Virginia 22102.
Triandaf
Ioana
I