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

• Published in: European physical journal plus Vol. 133; no. 12; p. 516
• Main Authors: Ye, Xiaolin, Wang, Xingyuan, Mou, Jun, Yan, Xiaopeng, Xian, Yongjin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2018; Springer Nature B.V
• 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
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/i2018-12309-2

. 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.