الفهرس 
Chapter 1: Literature reviewOnly 14 pages are availabe for public view
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Abstract
The primary aim of this thesis is to establish and analyse diverse new chaotic
systems and examine their dynamic properties. This category of dynamical
systems has numerous applications in engineering, spanning from image
processing to economic uses. Chaotic systems are recognized for their sensitivity
to initial conditions, where even minor changes in these conditions can result in
significant alterations in their outputs. Within this thesis, three novel chaotic
systems have been developed and their dynamical characteristics have been
examined utilizing the different tools applied in literature such as the eigenvalues
method, bifurcation diagrams, Kaplan-Yorke dimension, Lyapunov exponents, time
response, phase plane trajectories, and basins of attraction.
Furthermore, chaos control in the introduced dynamical systems was
investigated through adaptive control and sliding mode control strategies. The
objective was to suppress chaotic motion by generating control signals, compelling
the system to stabilize at predetermined positions. Also, Chaos synchronization for
the proposed chaotic systems was accomplished using adaptive control and sliding
mode control methods. A comparative analysis was conducted among different
control and synchronization techniques to pinpoint optimized methods for
achieving superior control and synchronization efficiency.
Additionally, simulations were executed using analogous electronic circuits
for the proposed chaotic systems within this thesis to validate the feasibility of
implementing such systems. These systems harbour potential applications in
various engineering domains, including encryption, secure communications,
Biological neural networks, medical systems, and robotics.
Finally, the chaotic system is employed as a Pseudo Random Number Generator
(PRNG) for image encryption applications using a new encryption model, and
experimental results confirm the high security and robustness of the proposed
encryption algorithm against various attack methods.