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Pseudo-Random Sequences Generated by a Class of One-Dimensional Smooth Map |
| WANG Xing-Yuan**, QIN Xue, XIE Yi-Xin
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Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024
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| Cite this article: |
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WANG Xing-Yuan, QIN Xue, XIE Yi-Xin 2011 Chin. Phys. Lett. 28 080501 |
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Abstract We extend a class of a one-dimensional smooth map. We make sure that for each desired interval of the parameter the map's Lyapunov exponent is positive. Then we propose a novel parameter perturbation method based on the good property of the extended one-dimensional smooth map. We perturb the parameter r in each iteration by the real number xi generated by the iteration. The auto-correlation function and NIST statistical test suite are taken to illustrate the method's randomness finally. We provide an application of this method in image encryption. Experiments show that the pseudo-random sequences are suitable for this application.
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| Keywords:
05.45.Ac
05.45.Pq
05.45.Gg
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Received: 09 November 2010
Published: 28 July 2011
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| PACS: |
05.45.Ac
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(Low-dimensional chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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05.45.Gg
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(Control of chaos, applications of chaos)
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