Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 460, Issue -, Pages 374-383Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2016.05.045
Keywords
Fractional differences; Fractional Lorenz maps; Time scale; Chaos synchronization
Categories
Funding
- NSFC [11301257]
- Chinese Ministry of Education Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics [ZG0464]
- Sichuan Provincial Education Department Comprehensive Reform Program for Specialty of Mathematics and Applied Mathematics [01249]
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In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of Riemann-Liouville type are proposed in this paper. The general chaotic behaviors are investigated in comparison with the Caputo one. Chaos synchronization is designed according to the stability results. The numerical results show the method's effectiveness and fractional chaotic map's potential role for secure communication. (C) 2016 Published by Elsevier B.V.
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