TITLE:
Active Control of Chaotic Oscillations in Nonlinear Chemical Dynamics
AUTHORS:
Dagbégnon Luc Olabodé, Batablinlè Lamboni, Jean Bio Chabi Orou
KEYWORDS:
Forced Modified Van der Pol-Duffing Oscillator, Chemical Dynamics, Active Control and Bifurcations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.3,
March
20,
2019
ABSTRACT: Abstract: This work studies the
active control of chemical oscillations governed by a forced modified Van der
Pol-Duffing oscillator. We considered the dynamics of nonlinear chemical
systems subjected to an external sinusoidal excitation. The approximative
solution to the first order of the modified Van der Pol-Duffing oscillator is
found using the Lindstedt’s perturbation method. The harmonic balance method is
used to find the amplitudes of the oscillatory states of the system under
control. The effects of the constraint parameter and the control
parameter of the model on the amplitude of oscillations are
presented. The effects of the active control on the behaviors of the model are
analyzed and it appears that with the appropriate selection of the coupling
parameter, the chaotic behavior of the model has given way to periodic
movements. Numerical simulations are used to validate and complete the
analytical results obtained.