Effect of Different Shape of Periodic Forces on Chaotic Oscillation in Brusselator Chemical System
Guruparan S.,
Ravindran Durai Nayagam B.,
Jeyakumari S.,
Chinnathambi V.
Issue:
Volume 3, Issue 3, May 2015
Pages:
19-27
Received:
20 May 2015
Accepted:
6 June 2015
Published:
23 June 2015
Abstract: Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, chaos, reverse period doubling bifurcations, quasiperiodic bifurcations are found to occur due to the applied forces. Parametric regimes where suppression of chaos occurs are predicted. Numerical investigations including bifurcation diagram, maximal Lyapunov exponent, Poincare map, Phase portrait and time series plot are used to detect chaos, quasiperiodic and periodic orbits.
Abstract: Bifurcations of periodic orbits and chaos in the Brusselator chemical reaction with different shape of external periodic forces are studied numerically. The external periodic forces considered are sine wave, square-wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave and modulus of sine wave. Period doubling bifurcations, ...
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