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A Comparative Study of Synchronization Methods of Rucklidge Chaotic Systems with Design of Active Control and Backstepping Methods

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International Journal of Modern Nonlinear Theory and Application 2022年第2期11卷 31-51页

作者： absana tarammim Musammet Tahmina Akter Department of Mathematics Chittagong University of Engineering & Technology (CUET) Chattogram Bangladesh

The performance of two widely used chaos synchronization approaches, active control and backstepping control, is investigated in this study. These two methods are projected to synchronize two chaotic systems (Master/Drive of Rucklidge Systems) that are identical but have different initial conditions. The paper’s significant feature is that based on error dynamics, controllers are designed using the appropriate variable and the time synchronization between master Rucklidge and drive Rucklidge systems using both methods. The control function of the active control method is designed on the proper selection of matrices. The chaotic behavior is controlled using a recursive backstepping design based on the Lyapunov stability theory with a validated Lyapunov function. The effectiveness of the controller in eradicating the chaotic behavior from the state trajectories is also revealed using numerical simulations with Matlab. The backstepping method is superior to the active control method for synchronization of the measured pair of systems, as it takes less time to synchronize while exhausting the first one than the second one with great performance, according to numerical simulation and graphical outcomes.

关键词： Chaotic System Synchronization Active Control Backstepping Control Lyapunov Function

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A Study of Two Dimensional Unsteady MHD Free Convection Flow over a Vertical Plate

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Open Journal of Fluid Dynamics 2020年第4期10卷 342-355页

作者： absana tarammim Mohammad Sharif Ullah Mohammed Jahir Uddin Department of Mathematics FENI UNIVERSITY Feni Bangladesh Department of Mathematics Chittagong University of Engineering and Technology (CUET) Chittagong Bangladesh Department of Mathematics Bangladesh University of Engineering and Technology (BUET) Dhaka Bangladesh Department of Mathematics Feni Government College Feni Bangladesh

In this paper, unsteady free convection heat transfer flow over a vertical plate in the presence of a magnetic field is discussed in detail. The dimensionless partial differential equations of continuity, momentum along energy are analyzed with suitable transformations. For numerical calculation, an implicit finite difference method is applied to solve a set of nonlinear dimensionless partial differential equations. Dimensionless velocity and temperature profile are also investigated due to the effects of assumed parameters in the concerned problem. An explicit finite difference technique is used to compute velocity and temperature profiles. The stability conditions are also examined.

关键词： Free Convection Heat Transfer Flow Magnetic Field Explicit Finite Difference Method

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A Study of Two Dimensional Unsteady MHD Free Convection Flow over a Vertical Plate in the Presence of Radiation

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Open Journal of Fluid Dynamics 2021年第1期11卷 20-33页

作者： Mohammad Sharif Ullah absana tarammim Mohammed Jahir Uddin Department of Mathematics Feni University Feni Bangladesh Department of Mathematics Bangladesh University of Engineering and Technology (BUET) Dhaka Bangladesh Department of Mathematics Chittagong University of Engineering and Technology (CUET) Chittagong Bangladesh Department of Mathematics Feni Government College Feni Bangladesh

This paper compacts with an exact analysis of radiative effects on the magnetohydrodynamic (MHD) free convection flow of an electrically conducting incompressible viscous fluid over a vertical plate. The non-dimensional continuity, momentum, and energy equations are solved using appropriate transformation. The dimensionless momentum and energy equations are solved numerically through an explicit finite difference method. The stability and convergence analysis also discussed. Finally, outcomes of the parameters on velocity and temperature profiles are displayed graphically and qualitatively.

关键词： Heat Transfer Mass Transfer MHD Vertical Plate Convection Flow

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