Constructing Discrete Chaotic Systems with Positive Lyapunov Exponents
2018 ◽
Vol 28
(07)
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pp. 1850084
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Keyword(s):
The chaotic system is widely used in chaotic cryptosystem and chaotic secure communication. In this paper, a universal method for designing the discrete chaotic system with any desired number of positive Lyapunov exponents is proposed to meet the needs of hyperchaotic systems in chaotic cryptosystem and chaotic secure communication, and three examples of eight-dimensional discrete system with chaotic attractors, eight-dimensional discrete system with fixed point attractors and eight-dimensional discrete system with periodic attractors are given to illustrate how the proposed methods control the Lyapunov exponents. Compared to the previous methods, the positive Lyapunov exponents are used to reconstruct a hyperchaotic system.
1995 ◽
Vol 05
(01)
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pp. 297-302
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2020 ◽
Vol 35
(3)
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pp. 241
2013 ◽
Vol 68
(8-9)
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pp. 573-580
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2020 ◽
Vol 35
(3)
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pp. 241
2009 ◽
Vol 20
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pp. 323-335
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1996 ◽
Vol 06
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pp. 759-767
Keyword(s):
2017 ◽
Vol 11
(2)
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pp. 96-103
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Keyword(s):
2008 ◽
Vol 22
(24)
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pp. 4175-4188
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2013 ◽
Vol 27
(21)
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pp. 1350113
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