ON A METHOD OF CONTROLLING CHAOS ORIGINATING IN A TORUS T2 DESTRUCTION - ITS APPLICATION TO A CHEMICAL CATALYZED REACTION

The reaction of oxidation of NADH by the enzyme peroxidase was modeled by Deng, Olsen & Perram in a 8 stage, 4 variable mechanism. The corre sponding system of non-linear equations exhibits chaotic behavior orig inating in the destruction of a torus T2. The control of this chaotic behavior with the use of Ott, Grebogi & Yorke's (OGY)'s method is not possible because the variables do not converge to the selected fixed p oint on Poincare's map. We describe a modification of the OGY's method with the inclusion of a steepest descent algorithm which permits a fa st control through the variation of one of the kinetic constants. We i llustrate the modification with some numerical examples in which the e volution of the chaotic system is converted to a periodic orbit.