Antimonotonicity and multistability in a fractional order memristive chaotic oscillator

• Published in: The European physical journal. ST, Special topics Vol. 228; no. 10; pp. 1969 - 1981
• Main Authors: Chen, Chao-Yang, Rajagopal, Karthikeyan, Hamarash, Ibrahim Ismael, Nazarimehr, Fahimeh, Alsaadi, Fawaz E., Hayat, Tasawar
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-10-2019; Springer Nature B.V
• Subjects: Atomic; Bifurcations; Circuits; Classical and Continuum Physics; Condensed Matter Physics; Dynamics and Applications; Materials Science; Measurement Science and Instrumentation; Memristor-based Systems: Nonlinearity; Memristors; Molecular; Optical and Plasma Physics; Physics; Physics and Astronomy; Regular Article
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjst/e2019-800222-7

A memristor diode bridge chaotic circuit is proposed in this paper. The proposed oscillator has only one nonlinear element in the form of memristor. Dynamical properties of the proposed oscillator are investigated. The fractional order model of the oscillator is designed using Grünwald–Letnikov (GL) method. Bifurcation diagrams are plotted which shows that the proposed oscillator exhibits multistability. Finally, the antimonotonicity property of the fractional order oscillator is discussed in detail with two control parameters. Such property has not been explored for fractional order systems before.