Yamapi, R., Filatrella, G., Aziz-Alaoui, M.A. and Enjieu Kadji, H.G. (2014) Modeling, Stability, Synchronization, and Chaos and Their Applications to Complex Systems. Abstract and Applied Analysis, 2, Article ID: 953813.
https://doi.org/10.1155/2014/953813

has been cited by the following article:

• 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.