Characteristic analysis of the fractional-order hyperchaotic memristive circuit based on the Wien bridge oscillator

. In this paper, a new hyperchaotic memristive circuit based on the Wien bridge oscillator is built. The numerical solution of the new fractional-order memristive system is calculated by using the Adomian decomposition method. By using the spectral entropy (SE) complexity algorithm and the C 0 compl...

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Bibliographic Details
Published in:European physical journal plus 2018-12, Vol.133 (12), p.516, Article 516
Main Authors: Ye, Xiaolin, Wang, Xingyuan, Mou, Jun, Yan, Xiaopeng, Xian, Yongjin
Format: Article
Language:English
Subjects:
Algorithms
Applied and Technical Physics
Atomic
Calculus
Circuits
Complex Systems
Complexity
Condensed Matter Physics
Decomposition
Diodes
Dynamic characteristics
Information science
Mathematical and Computational Physics
Mathematical models
Memory devices
Molecular
Optical and Plasma Physics
Oscillators
Physics
Physics and Astronomy
Regular Article
System theory
Theoretical
Theoretical analysis
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Summary:. In this paper, a new hyperchaotic memristive circuit based on the Wien bridge oscillator is built. The numerical solution of the new fractional-order memristive system is calculated by using the Adomian decomposition method. By using the spectral entropy (SE) complexity algorithm and the C 0 complexity algorithm, the dynamic characteristics of the fractional-order system are analyzed. Especially, the fractional-order coexisting attractors are found and the coexisting bifurcation diagrams with different order are presented. With varying the order q , the phenomenon of coexisting evolution is observed. Finally, the practical circuit is realized. The results of the theoretical analysis and the numerical simulation show that the fractional-order Wien bridge hyperchaotic memristive circuit system has very complex dynamical characteristics. It provides a theoretical guidance for the chaotic related field.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2018-12309-2