Control of chaos in chemical systems (for the process of crystallization as an example)

Citation
Em. Kol'Tsova et al., Control of chaos in chemical systems (for the process of crystallization as an example), RUSS J PH C, 74, 2000, pp. S78-S84
Citations number
23
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY
ISSN journal
00360244 → ACNP
Volume
74
Year of publication
2000
Supplement
1
Pages
S78 - S84
Database
ISI
SICI code
0036-0244(2000)74:<S78:COCICS>2.0.ZU;2-X
Abstract
Two methods of control of stochastic oscillations-with feedback and without feedback (destochastization)-were considered. The process of the continuou s crystallization of dibasic lead phosphite via a chemical reaction was inv estigated. A mathematical model of this process predicted both periodic and stochastic oscillations. The OGY algorithm (the feedback control algorithm ) for stabilizing the cycle of period 2 was modified. It was shown that the basic equations of the mathematical model of crystallization of dibasic le ad phosphite can be transformed to logistic equations. A relationship betwe en the bifurcation parameter of the mathematical model (the flow rate) and the bifurcation parameter of the logistic equation was established. A perio dic disturbance of the flow rate was constructed to transform stochastic os cillations to a cycle of period 6 (using the destochastization algorithm).