Deanship of Graduate Studies | Researches | DYNAMICAL PROPERTIES AND SYNCHRONIZATIONS OF A NEW CHAOTIC AND HYPERCHAOTIC NONLINEAR SYSTEMS

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Document Details

Document Type	:	Thesis
Document Title	:	DYNAMICAL PROPERTIES AND SYNCHRONIZATIONS OF A NEW CHAOTIC AND HYPERCHAOTIC NONLINEAR SYSTEMS الخواص الديناميكية والتوافقات الزمنية لأنظمة فوضوية وفوق فوضوية جديدة غير خطية
Subject	:	Faculty of Science
Document Language	:	Arabic
Abstract	:	In this thesis, we proposes a novel chaotic system with a cubic non-linear term. Different system characteristics are investigated including equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. Also, the electronic circuit and Signal flow graph of the system are carried out to show the applicability of the chaotic system. Lyapunov stability theorem converts the system’s chaotic behavior to unstable trivial fixed point. The study also focuses on demonstrating complete synchronization between two similar novel chaotic systems. According to Lyapunov stability theorem, simple application in secure communication was developed by employing the chaos synchronization results. Numerical simulations for the systems are performed for establishing the synchronization strategy effectiveness and proposed control. Also, the study proposes a novel hyperchaotic system with four dimensional non-linear term. It also investigates different system characteristics including equilibria, stability, invariance, dissipation, Lyapunov exponents, and Lyapunov dimension. The study also focuses on demonstrating adaptive complete synchronization between two similar novel hyperchaotic systems. According to Lyapunov stability theorem, simple application in secure communication was developed by employing the chaos synchronization results. Numerical simulations for the systems are performed for establishing the synchronization strategy effectiveness. Keywords: Chaotic system; Hyperchaotic system; Chaos control; Synchronization; Lyapunov exponents
Supervisor	:	Prof. Abdullah Alzahrani
Thesis Type	:	Doctorate Thesis
Publishing Year	:	1445 AH 2023 AD
Co-Supervisor	:	Dr. Ahmed Alshehri
Added Date	:	Friday, November 10, 2023

Researchers

Researcher Name (Arabic)	Researcher Name (English)	Researcher Type	Dr Grade	Email
محمد مبيريك المزين	Almuzaini, Mohammed Mubayrik	Researcher	Doctorate

Files

File Name	Type	Description
49532.pdf	pdf

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