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Design and Analytic of A Novel SevenDimension Hyper Chaotic Systems

Hayder Kadhim Zghair, Sadiq A. Mehdi, Sattar B. Sadkhan

202010 citationsDOI

Abstract

In this paper, a novel seven dimension (7D) autonomous hyperchaotic system which is proposed by constructing seven nonlinear differential equation in the third order. The proposed system has twelve positive parameters. The dynamics of that novel hyperchaotic system are approved by using Lyapunov exponent, power spectrum and strange attracter. The system has three positive Lyapunov exponents. A novelity of (7D) hyperchaotic behaviour is demonstrated. The pseudo-random number generated (PRNG) is created and based on complex novel chaotic system results, then, the PRNG tests. Besides, it is approved that coming from the proposed system passed from statistical randomness test by NIST Test group.

Topics & Concepts

Lyapunov exponentRandomnessNISTChaoticPseudorandom number generatorCorrelation dimensionNonlinear systemCHAOS (operating system)Statistical hypothesis testingRandomness testsComputer scienceMathematicsLyapunov functionDimension (graph theory)Control theory (sociology)Applied mathematicsAlgorithmArtificial intelligenceStatisticsMathematical analysisFractal dimensionPhysicsPure mathematicsFractalNatural language processingQuantum mechanicsComputer securityControl (management)Chaos control and synchronizationChaos-based Image/Signal EncryptionQuantum chaos and dynamical systems
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