Markov chain in modeling Universiti Utara Malaysia undergraduate student

In this study, we have used Markov chain to model the flow of full time undergraduate students in Universiti Utara Malaysia (UUM) of 2003 and 2004.Through this model, we have estimated the probability of a student to complete a course and the mean times it take to complete it distinguished by age, gender, programme undertaken and the minimum entrance qualification used in enrolling at UUM

A research on the synchronization of two novel chaotic systems based on a nonlinear active control algorithm

The problem of chaos synchronization is to design a coupling between two chaotic systems (master-slave/drive-response systems configuration) such that the chaotic time evaluation becomes ideal and the output of the slave (response) system asymptotically follows the output of the master (drive) system.This paper has addressed the chaos synchronization problem of two chaotic systems using the Nonlinear Control Techniques, based on Lyapunov stability theory.It has been shown that the proposed schemes have outstanding transient performances and that analytically as well as graphically, synchronization is asymptotically globally stable.Suitable feedback controllers are designed to stabilize the closed-loop system at the origin. All simulation results are carried out to corroborate the effectiveness of the proposed methodologies by using Mathematica 9

Linear active control algorithm to synchronize a nonlinear HIV/AIDS dynamical system

Chaos synchronization between two chaotic systems happens when the trajectory of one of the system asymptotically follows the trajectory of another system due to forcing or due to coupling.This research paper addresses the synchronization problem of an In-host Model for HIV/AIDS dynamics using the Linear Active Control Technique.In this study, using the Linear Active Control Algorithm based on the Lyapunov stability theory, the synchronization between two identical HIV/AIDS chaotic systems and the switching synchronization between two different HIV/AIDS and Qi 4-D chaotic systems has been observed. Further, it has been shown that the proposed schemes have excellent transient performance and analytically as well as graphically found that the synchronization is globally exponential stable.Numerical simulations are carried out to demonstrate the efficiency of the proposed approach that support the analytical results and illustrated the possible scenarios for synchronization. All simulations have been done using Mathematica 9

Free convection over a vertical plate in a micropolar fluid subjected to a step change in surface temperature

The Keller box method has been employed for free convection over a vertical plate subjected to a step change in surface temperature in micropolar fluid. Numerical results presented include the reduced angular velocity profiles, development of wall shear stress or skin friction and development of the rate of change of the gyration component at the wall for various values of Prandtl numbers and temperature ratios. The study shows that the present results obtained in micropolar fluids, when temperature ratio 0w2=1, agree very well with the previous study without temperature change

Identical synchronization of a new chaotic system via nonlinear control and linear active control techniques: A comparative analysis

Most of the synchronization techniques belong to the master-slave (drive-response) system configurations in which the two chaotic systems are coupled in such a manner that the performance of the second (slave /response) system is influenced by the first (drive/master) system and the first system is not disturbed by the exertion of the second (slave / response) system.In this research paper, the synchronization problem of two widely used techniques, the Linear Active Control and Nonlinear Control Algorithms have been studied to achieve chaos synchronization of a new chaotic system. In this study, using the Linear Active Control and the Nonlinear Control algorithms and based on the Lyapunov Stability Theory, it has been shown that the two techniques have excellent transient performance and that analytically as well as graphically, the synchronization is asymptotically globally stable.Numerical simulations are furnished to show the efficiency and effectiveness of the two methods

Chaos control and synchronization of a novelchaotic system based upon adaptive control algorithm

Controlling chaos is stabilizing one of the unstable periodic orbits either to its equilibrium point or to a stable periodic orbit by means of an appropriate continuous signal injected to the system. On the other hand, chaos synchronization refers to a procedure where two chaotic oscillators (either identical or nonidentical) adjust a given property of their motion to a common behavior. This research paper concerns itself with the Adaptive Control and Synchronization of a new chaotic system with unknown parameters. Based on the Lyapunov Direct Method, the Adaptive Control Techniques are designed in such a way that the trajectory of the new chaotic system is globally stabilized to one of its equilibrium points of the uncontrolled system. Moreover, the Adaptive Control Law is also applied to achieve the synchronization state of two identical systems and two different chaotic systems with fully unknown parameters. The parameters identification, chaos control and synchronization of the chaotic system have been carried out simultaneously by the Adaptive Controller. All simulation results are carried out to corroborate the effectiveness and the robustness of the proposed methodology and possible feasibility for synchronizing two chaotic systems by using mathematica 9

Global Chaos Synchronization of Two different Chaotic Systems Using Nonlinear Control

Synchronization between two chaotic systems occurs when the trajectory of one of the system asymptotically follows the trajectory of another system due to coupling or due to forcing. In this research paper, the synchronization problem between two identical Li and identical Lorenz systems and nonidentical Li and Lorenz Chaotic Systems have been addressed. In this study, the synchronization is performed through a nonlinear controller based on Lyapuonov Stability Theory to stabilize the error dynamics. It has been shown that the proposed strategies have excellent transient performances using less control effort with fast transient speed and has shown analytically as well as graphically that synchronization is asymptotically globally stable