Complexity Analysis and DSP Implementation of the Fractional-Order Lorenz Hyperchaotic System

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ID: 33204
2015
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Abstract
The fractional-order hyperchaotic Lorenz system is solved as a discrete map by applying the Adomian decomposition method (ADM). Lyapunov Characteristic Exponents (LCEs) of this system are calculated according to this deduced discrete map. Complexity of this system versus parameters are analyzed by LCEs, bifurcation diagrams, phase portraits, complexity algorithms. Results show that this system has rich dynamical behaviors. Chaos and hyperchaos can be generated by decreasing fractional order q in this system. It also shows that the system is more complex when q takes smaller values. SE and C 0 complexity algorithms provide a parameter choice criteria for practice applications of fractional-order chaotic systems. The fractional-order system is implemented by digital signal processor (DSP), and a pseudo-random bit generator is designed based on the implemented system, which passes the NIST test successfully.
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he2015complexityentropy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors He, Shaobo;Sun, Kehui;Wang, Huihai;
Journal entropy
Year 2015
DOI
DOI not found
URL
http://www.mdpi.com/1099-4300/17/12/7882
Keywords Keywords not found

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