Evidence for low dimension chaos in electrically coupled chemical oscillator in batch condition

In the last few years, the study of coupling of chemical reactions has gain ed immense importance because of the dynamics arising from such a set up is analogous to that of biological processes. In the present study we have ma de an attempt to characterize the dynamics observed during the electrical c oupling of two Belousov - Zhabotinskii (BZ) oscillators in batch condition. One BZ oscillator is catalysed by cerium and the other by manganese. The c oupling strength is varied by using external resistances. The possibility o f existence of deterministic chaos in this reaction is examined by nonlinea r dynamical techniques such as the estimation of Lyapunov exponent and corr elation dimension, followed by false nearest: neighbourhood method, surroga te data and predictability analyses. All the above methods of analysis show that due to coupling the oscillator catalysed by cerium undergoes more cha nges in its dynamics from the limit cycle behaviour than the other oscillat or, i.e., the fast oscillating manganese system affects the dynamics of the slow oscillating cerium system. Chaos is observed in time series represent ing the potential difference between the two coupled oscillators. The degre e of chaos is a function of the external resistance.