Journal
ENTROPY
Volume 20, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/e20040230
Keywords
chaos; chaotic circuit; ordinary differential equations; hyperbolic sine
Categories
Funding
- Fundamental Research Funds for the Central Universities [lzujbky-2016-238]
- National Natural Science Foundation of China [61175012, 61761040]
- 2017 second batch of innovation base and innovative talents (Small and medium enterprises innovation fund) [17CX2JA018]
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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.
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