Browsing by Author "Orou, Chabi J.B."
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Item Effects of Passive Hydrodynamics Force(Elsevier, 2018) Olabodé, D.L.; Miwadinou, C.H.; Monwanou, V.A.; Orou, Chabi J.B.This work studies the nonlinear dynamics and passive control of chemical oscillations governed by a forced modified Van der Pol-Duffing oscillator. We considered the dynamics of nonlinear chemical systems subjected to fluctuating hydrodynamic drag forces. The computation of fixed points of the nonlinear chemical system is made in detail by utilizing Cardan’s method. The harmonic balance method is used to find the amplitudes of the oscillatory states. The Floquet theory and the Whittaker method are utilized to analyze and analytically determine the stability boundaries of oscillations. The influences of system parameters in general and in particular the effect of the parameter K and the constraint parameter β which shows the difference between a nonlinear chemical dynamics order two differential equation and ordinary Van der Pol-Duffing equation are observed on the state of the second stability criterion. The effects of the control process on chaotic dynamics states are investigated through bifurcations structures, Lyapunov exponent, phase portraits and Poincar´e section. The results obtained by the analytical methods are validated and complemented by the results of numerical simulations.Item Modeling and study of dynamics of micro-beam coupled to two Josephson junctions(IOP Publishing Ltd., 2019) Koudafokê, G.N.; Miwadinou, C.H.; Hinvi, A.L.; Monwanou, A.V.; Orou, Chabi J.B.In this work, we proposed to study the dynamics of a bi-recessed micro-beam coupled magnetically to two Josephson junctions. After building a model of MEMS (Micro Electro Mechanical Systems), the equations of their dynamics are determined. The fixed points of system are analytically checked and their stability is analyzed by using the Routh-Hurwitz criterion. For this purpose, a numerical study utilizing the bifurcation diagram, Lyapunov exponents, phase portraits and times hystories is made to analyze the different dynamic modes of micro-beam coupled to two Josephson junctions. The effect of Josephson junctions on the behavior of the micro-beam is seriously analyzed. It is obtained for each part of the MEMS the various dynamics influenced by certain parameters of the system.