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Recently, the introduction of high-dimensional systems with a larger Lyapunov exponent is very difficultand more complex. The paper introduces a new four-dimensional hyperchaotic system with a larger Lyapunov exponentcompared with 20 works available in literature. Th proposed system will be derived from the Lorenz-like system via a statefeedback control approach and consist of eight terms only. This system lacks equilibrium points but can generate hiddenattractors. Two positive Lyapunov exponents (LE) indicating hyperchaotic behavior have been identified. Themathematical properties of this dissipative hyperchaotic system are both theoretically and numerically presented,encompassing Lyapunov exponents, Lyapunov dimension (Kaplan-Yorke dimension), Multistability, and Hybridprojective synchronization (HPS). Various dynamic behavior are observed such as hyperchaotic, chaotic, chaotic 2-tours,and periodic behaviors. The paper provides proof of the main results through theoretical analysis and numerical simulationsconducted in MATLAB V2021.
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Al-Azzawi et al. (2023) studied this question.
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