College of Computer Science and Mathematics

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:New dynamic systems based on chaotic system with an exponential termIn continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and MathematicsProf. Dr. Duha Bashir Abdullah The esteemedIt was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 31/10/2022Master’s thesis by student Ahmed KhudhurKhalafKhashman , under the supervision of Assistant Professor Dr. SaadFawziJasim.In this thesis, a four simple systems with exponential limits (chaotic/hyperchaotic) of different dimensions (two four-dimensional systems and two five-dimensional systems) has been derived, from a three-dimensional system using two different strategies (coupling control strategy and state feedback controller strategy) and the comparison between both strategies are used to find out which one is the best in generation.Experiments on the proposed systems in this study showed that the systems generated using the first strategy are self-excited attractors while the systems generated using the second strategy are hidden attractors. In addition, the largest of Lyapunov exponent in the coupling control strategy is greater than the second strategy. Been touched upon the study of the simplicity of the proposed systems in both strategies according to the Sprott’s Criteria, where the results showed that the proposed systems have a fewer terms compared to the total number of terms of the traditional systems, the important characteristics of these systems and the effect of coupling parameters were also studied, in addition to Procedure some synchronization phenomena.This study was based in extraction the results are on two sides: analytical methods and numerical simulation.The theoretical results included: Lyapunov Stability Theory, Routh-Hurwitz theory, Jacobian matrix. While the numerical aspect included Wolf’s algorithm, Bifurcation diagram and Synchronization programs. The simulation confirmed the operation the accuracy and validity of the theoretical results by matching the sum of the Lyapunov exponent with the value of the divergence for all systems.1-Prof. Dr. Mohammed ShamiHasso/ Chief2- AssociateProfessor Dr.ThairYounisThanoon/ Member3-AssociateProfessorWaleed Mohammed Fathi/ Member4- Assistant Professor Dr. SaadFawziJasim/ Advisor and Member