Liu C.I.Wen H.J.Lee D.J.2019-05-142019-05-14199700092614https://scholars.lib.ntu.edu.tw/handle/123456789/408087Complex 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.[SDGs]SDG6journal article10.1016/S0009-2614(97)00428-42-s2.0-0031555987https://www.scopus.com/inward/record.uri?eid=2-s2.0-0031555987&doi=10.1016%2fS0009-2614%2897%2900428-4&partnerID=40&md5=d1fa97609a018705dbae43551b6cb3d2