Effect of frequency modulated signal on chaotic motion in brusselator chemical reaction

Abstract

The various dynamical behaviours of the Brusselator chemical reaction and the effect of frequency modulated signal acted on the reaction as a chaotic oscillator has been investigated. We considered both narrow band frequency modulated (NBFM) and wide band frequency modulated (WBFM) signals to study the dynamics of the system. A variety of features such as different routes to chaos, periodic windows, reverse period-doubling bifurcation, chaotic orbit, and periodic-bubbles are found to occur due to the applied signal. The numerical results are substantiated by bifurcation diagram, phase portrait and Poincare map.