Research Article of Research Journal of Mathematics and Computer Science
Chaotic Random Sequence Generated from Tent Map on Variant Maps
Yifeng Zheng1, Jeffrey Zheng1
1School of Software, Yunnan University, Kunmming 650091, China
Chaotic sequences, have being widely used in mobile communications and cyberspace security. Using the sequences, various stochastic analysis schemes are developed. The Tent map is one of the widely used chaotic maps with good ergodic uniformity. In this paper, the variant maps are used to illustrate the Tent chaotic sequence under different lengths and control parameters to show the statistical characteristics of sequences. Results are shown that when the control parameter of Tent map is close to 0.5, the generated sequences have the symmetrical distribution, that is more stable if the sequence is longer.
Keywords: tent map, chaotic random sequence, variant map, visual testing.
How to cite this article:
Yifeng Zheng and Jeffrey Zhenga Chaotic Random Sequence Generated from Tent Map on Variant Maps. Research Journal of Mathematics and Computer Science, 2018; 2:12
 XING-YUAN WANG, YI-XIN XIE, A DESIGN OF PSEUDO-RANDOM BIT GENERATOR BASED ON SINGLE CHAOTIC SYSTEM, J. International Journal of Modern Physics C, 2012, 23(03):1250024-.
 Lian S, Sun J, Wang Z, A block cipher based on a suitable use of the chaotic standard map, J. Chaos Solitons & Fractals, 2005, 26(1):117-129.
 Habutsu T, Nishio Y, Sasase I, A Secret Key Cryptosystem By Iterating A Chaotic Map, J. Advances in Cryptology ł Eurocrypt, 1995, 547(1):127-140.
 Campos-Cantn I, Campos-Cantn E, Murguła J S, A simple electronic circuit realization of the tent map, J. Chaos Solitons & Fractals, 2009, 42(1):12-16.
 Liang S, Hao Q, Li J, Chaotic optimization algorithm based on Tent map, J. Control & Decision, 2005, 20(2).
 Beijing, A class of topologically conjugated chaotic maps of tent map to generate independently and uniformly distributed chaotic key stream, J. Acta Physica Sinica, 2013, 62(12):120501-464.
 Martłnez-Nonthe J A, Castaneda-Solłs A, Dłaz-Mndez A, Chaotic block cryptosystem using high precision approaches to tent map, J. Microelectronic Engineering, 2012, 90(2):168-172.
 Palacios-Luengas L, Delgado-Gutirrez G, Cruz-Irisson M, Digital noise produced by a non discretized tent chaotic map, J. Microelectronic Engineering, 2013, 112(12):264-268.
 Khan M K, Zhang J, Investigation on Pseudorandom Properties of Chaotic Stream Ciphers, C. IEEE International Conference on Engineering of Intelligent Systems. IEEE, 2006, 1-5.
 Zheng J Z J, Zheng C H, A framework to express variant and invariant functional spaces for binary logic, J. Frontiers of Electrical & Electronic Engineering in China, 2010, 5(2):163-172.
 Zheng J, Zhang W, Luo J, Variant Map System to Simulate Complex Properties of DNA Interactions Using Binary Sequences, J. Advances in Pure Mathematics, 2013, 3(7A):5-24.
 Heim D, Heim Olga, PA Zeng, Zheng Jeffrey, Successful Creation of Regular Patterns in Variant Maps from Bat Echolocation Calls, J. Biological Systems: Open Access, 2016, 5:2.
 Zheng J, Novel pseudo random number generation using variant logic framework, C. Proceedings of the 2nd International Cyber Resilience Conference, 2011, 100-104