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A high-dimension chaotic system based on Multivariable Linkage Function (MvLF) is proposed within the passage, which has variable Lyapunov exponents (LEs) and the sufficient capabilities to implement different chaotic, hyperchaotic status, or both. Not only does it have much more security than the former similar ones, but its expansibility and physical simplicity in modeling and applications also excel others. The passage carried out relevant analysis on the eigenvalue problem of system Jacobian matrix and their Lyapunov exponent spectrum, which finally led to two general conclusions for the cases under investigation. Relevant simulations and analysis prove that the proposed system has theoretical importance and practical advantages in information security domain, such as chaotic communication, modern chaotic cryptology, etc. |
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Keywords:Multivariable Linkage Function, Lyapunov Exponent, Chaos, Hyperchaos |
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