CONTROLLING UNSTABLE STATES IN REACTION-DIFFUSION SYSTEMS MODELED BY TIME-SERIES

Citation
Ib. Schwartz et I. Triandaf, CONTROLLING UNSTABLE STATES IN REACTION-DIFFUSION SYSTEMS MODELED BY TIME-SERIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 2548-2552
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
50
Issue
4
Year of publication
1994
Pages
2548 - 2552
Database
ISI
SICI code
1063-651X(1994)50:4<2548:CUSIRS>2.0.ZU;2-D
Abstract
We introduce an algorithm for controlling unstable states of a spatiot emporal system modeled by a time series. Control is achieved by adjust ing an external parameter at the boundary. Our time series is taken as the concentration from an experiment modeled by a reaction-diffusion system. It is shown that unstable states can be maintained by performi ng fluctuations of the concentration at the boundaries, while monitori ng the dynamics from an interior spatial point.