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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Published in | European physical journal plus Vol. 133; no. 12; p. 516 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2018
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 2190-5444 2190-5444 |
DOI: | 10.1140/epjp/i2018-12309-2 |