A Universal Variable Extension Method for Designing Multiscroll/Wing Chaotic Systems

Developing a universal design method to construct different multiscroll/wing chaotic systems (MS/WCSs) has been challenging. This article proposes a general design method for MS <inline-formula><tex-math notation="LaTeX">/</tex-math></inline-formula> WCSs called the...

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Vydáno v:IEEE transactions on industrial electronics (1982) Ročník 71; číslo 7; s. 1 - 13
Hlavní autoři: Lin, Hairong, Wang, Chunhua, Sun, Yichuang
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.07.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Behavioral sciences
Bifurcation
Chaos theory
Chaotic communication
Chaotic system
Design methodology
Design techniques
Field programmable gate arrays
field-programmable gate array (FPGA) implementation
Hardware
initial boosting behavior
Mathematical models
multiscroll/wing chaotic attractors (MS/WCAs)
Pseudorandom
pseudorandom number generator (PRNG)
Stability analysis
Thermal stability
Two dimensional analysis
ISSN:0278-0046, 1557-9948
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Shrnutí:Developing a universal design method to construct different multiscroll/wing chaotic systems (MS/WCSs) has been challenging. This article proposes a general design method for MS <inline-formula><tex-math notation="LaTeX">/</tex-math></inline-formula> WCSs called the universal variable extension method (UVEM). It is a simple but effective approach that generates one-direction (1-D) and 2-D multiscroll/wing chaotic attractors. Using any double-scroll/wing chaotic system as the basic system, the UVEM is able to construct different MS/WCSs. Employing Chua's chaotic system and Lorenz chaotic system as two examples, we construct two MSCSs (including 1-D and 2-D) and two MWCSs (including 1-D and 2-D), respectively. Theoretical analysis and numerical simulation show that the constructed MS/WCSs not only can generate 1-D and 2-D multiscroll/wing chaotic attractors but also have 1-D and 2-D initial boosting behaviors. This means that the MS/WCSs designed by the UVEM are very sensitive to their initial states, and have better unpredictability and more complex chaotic behaviors. To show the simplicity of UVEM in hardware implementation, we develop a field-programmable gate array-based digital hardware platform to implement the designed MS <inline-formula><tex-math notation="LaTeX">/</tex-math></inline-formula> WCSs. Finally, a new pseudorandom number generator is proposed to investigate the application of the MS/WCSs. All P-values obtained by the NIST SP800-22 test are larger than 0.01, which indicates that the MS/WCSs designed by UVEM have high randomness.
Bibliografie:ObjectType-Article-1
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ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2023.3299020