Active Control of Chaotic Oscillations in Nonlinear Chemical Dynamics

作     者：Dagbégnon Luc Olabodé Batablinlè Lamboni Jean Bio Chabi Orou 

作者机构：Laboratoire de Mécanique des Fluides de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB) Institut de Mathématiques et de Sciences Physiques (IMSP) Porto-Novo Bénin Institut de Mathématiques et de Sciences Physiques (IMSP) Porto-Novo Bénin 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2019年第7卷第3期

页      面：547-558页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Forced Modified Van der Pol-Duffing Oscillator Chemical Dynamics Active Control and Bifurcations 

摘      要：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.