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Open AccessArticle

An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine

1
School of Information Science and Engineering, Lanzhou University, Lanzhou 730000, China
2
School of Physics and Electronic Information Engineering, Qinghai Normal University, Xining 810008, China
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(4), 230; https://doi.org/10.3390/e20040230
Received: 12 January 2018 / Revised: 23 March 2018 / Accepted: 24 March 2018 / Published: 27 March 2018
(This article belongs to the Special Issue Research Frontier in Chaos Theory and Complex Networks)
Chaotic systems with hyperbolic sine nonlinearity have attracted the attention of researchers in the last two years. This paper introduces a new approach for generating a class of simple chaotic systems with hyperbolic sine. With nth-order ordinary differential equations (ODEs), any desirable order of chaotic systems with hyperbolic sine nonlinearity can be easily constructed. Fourth-order, fifth-order, and tenth-order chaotic systems are taken as examples to verify the theory. To achieve simplicity of the electrical circuit, two back-to-back diodes represent hyperbolic sine nonlinearity without any multiplier or subcircuits. Thus, these systems can achieve both physical simplicity and analytic complexity at the same time. View Full-Text
Keywords: chaos; chaotic circuit; ordinary differential equations; hyperbolic sine chaos; chaotic circuit; ordinary differential equations; hyperbolic sine
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Liu, J.; Ma, J.; Lian, J.; Chang, P.; Ma, Y. An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine. Entropy 2018, 20, 230.

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