Topology of Chaos in a Chemical Reaction

Abstract

The authors and coworkers (TURNER et al. [1]; ROUX et al. [2]) have investigated the dynamics of the Belousov-Zhabotinskii reaction in a stirred flow reactor. These experiments, which were motivated by the numerical modeling studies of TURNER [1,3] described elsewhere in this volume, have revealed a sequence of periodic and chaotic regimes that alternate as a function of the flow rate. The periodic regimes are characterized by power spectra (of the bromide ion potential) that consist of a single fundamental frequency component and its harmonics, as Fig. la illustrates, while the chaotic regimes are characterized by broadband power spectra, as Fig. lb illustrates. The observed periodic-chaotic sequence will be compared with the numerical modeling predictions and with other experiments in this section. The remainder of the paper will be devoted to an analysis of the phase space portraits and Poincare maps for the data obtained in the first chaotic regime in the sequence.KeywordsTransition SequenceChaotic StateChaotic RegimeBackground Noise LevelPeriodic RegimeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.