Author/Authors :
Liu، نويسنده , , C.I. and Wen، نويسنده , , H.J. and Lee، نويسنده , , D.J.، نويسنده ,
Abstract :
Complex periodic and aperiodic dynamics have been reported in a model of an incompletely macromixed stirred tank reactor. A route to chaos following a 1j bifurcation (j can be odd or even depending on the space time and reflux ratios) was identified. We demonstrate that Farey arithmetics describe the even-j bifurcation sequence. The firing number versus reflux ratio staircase exhibits a fractal dimension. No such relation exists in the odd-j bifurcation sequence.