Modeling of discrete fracmemristor and its application
Source abstract
Abstract
Researches on the fracmemristor have aroused increasing interest in the last several years, but there are no reports on design of the discrete fracmemristor. Based on the fractional-order difference and the mathematical model of the charge-controlled memristor, the discrete fracmemristor is designed where the amount of charge is determined by a fractional-order discrete system. In the numerical simulations, it shows that the pinched hysteresis loops are observed, which imply that the proposed memristor satisfies the definition of the memristor. As an application, the fracmemristor sine map is designed, and multistability is observed regarding the initial conditions of both the memristor and system. It provides a potential model for different applications such as cellular neural networks, modulators, sensors, chaotic systems, and programmable digital circuits.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Advanced Memory and Neural Computing · Neural Networks Stability and Synchronization · stochastic dynamics and bifurcation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
School of Physics and Electronics, Central South University , Changsha 410083, People’s Republic of China
Funding
The Natural Science Foundation of China · The Postdoctoral Innovative Talents Support Program · The China Postdoctoral Science Foundation
References (42)
Show source-provided references
1. Memristor-the missing circuit element10.1109/tct.1971.1083337 ↗
2. The missing memristor found10.1038/nature06932 ↗
3. A discrete memristor made of ZnO nanowires synthesized on printed circuit board10.1016/j.matlet.2012.10.011 ↗
4. Experimental studies on the conduction mechanism and electrical properties of the inverted Ba doped ZnO nanoparticles based memristor10.1063/1.5110888 ↗
5. Resistance switching characteristics and mechanisms of MXene/SiO2 structure-based memristor10.1063/1.5087423 ↗
6. Influence of rf sputter power on ZnO film characteristics for transparent memristor devices10.1063/1.5125665 ↗
7. Accelerated ionic motion in amorphous memristor oxides for nonvolatile memories and neuromorphic computing10.1002/adfm.201804782 ↗
8. Fully memristive neural networks for pattern classification with unsupervised learning10.1038/s41928-018-0023-2 ↗
9. Efficient and self-adaptive in-situ learning in multilayer memristor neural networks10.1038/s41467-018-04484-2 ↗
10. Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization10.1007/s11071-018-4531-4 ↗
11. Dynamics of a physical SBT memristor-based Wien-bridge circuit10.1007/s11071-018-4284-0 ↗
12. Analogue signal and image processing with large memristor crossbars10.1038/s41928-017-0002-z ↗
13. Not in name alone: A memristive memory processing unit for real in-memory processing10.1109/mm.2018.053631137 ↗
14. 2000
15. 2006
16. Complexity analysis and DSP implementation of the fractional-order Lorenz hyperchaotic system10.3390/e17127882 ↗
17. A new collection of real world applications of fractional calculus in science and engineering10.1016/j.cnsns.2018.04.019 ↗
18. Modeling and simulation of equivalent circuits in description of biological systems-a fractional calculus approach10.5617/jeb.225 ↗
19. Extreme multistability analysis of memristor-based chaotic system and its application in image decryption10.1063/1.5006593 ↗
20. Modeling and analysis of a fractional-order generalized memristor-based chaotic system and circuit implementation10.1142/s0218127417501991 ↗
21. On the analysis of current-controlled fractional-order memristor emulator
22. Fracmemristor: Fractional-order memristor10.1109/access.2016.2557818 ↗
23. Analog circuit implementation of fractional-order memristor: Arbitrary-order lattice scaling fracmemristor10.1109/tcsi.2018.2789907 ↗
24. Generalized modeling and character analyzing of composite fractional-order memristors in series connection10.1007/s11071-018-4553-y ↗
25. A new fractional order memristance simulator circuit design
26. A transform method in discrete fractional calculus
27. Fractional differences and integration by parts
28. Memristor oscillators10.1142/s0218127408022354 ↗
29. Fractional-order memristor-based Chua’s circuit10.1109/tcsii.2010.2083150 ↗
30. Memristor-based chaotic circuits10.4103/0256-4602.57827 ↗
31. Dynamical investigation and chaotic associated behaviors of memristor Chua’s circuit with a non-ideal voltage-controlled memristor and its application to voice encryption10.1016/j.aeue.2019.05.031 ↗
32. A simple memristor chaotic circuit with complex dynamics10.1142/s0218127411029999 ↗
33. Multiple attractors in a non-ideal active voltage-controlled memristor based Chua’s circuit10.1016/j.chaos.2015.12.007 ↗
34. Memristor initial boosting behaviors in a two-memristor-based hyperchaotic system10.1016/j.chaos.2019.03.005 ↗
35. Memristor-based chaotic circuit for pseudo-random sequence generators
36. Compound–combination anti-synchronization of five simplest memristor chaotic systems10.1016/j.ijleo.2016.06.043 ↗
37. A novel shuffling technique based on fractional chaotic maps10.1016/j.ijleo.2018.04.054 ↗
38. The fractional form of the Tinkerbell map is chaotic10.3390/app8122640 ↗
39. Detecting chaos in fractional-order nonlinear systems using the smaller alignment index10.1016/j.physleta.2019.04.041 ↗
40. On the dynamics, control and synchronization of fractional-order Ikeda map10.1016/j.chaos.2019.04.002 ↗
41. Dynamics of a higher dimensional fractional-order chaotic map10.1016/j.physa.2019.03.058 ↗
42. Three fingerprints of memristor10.1109/tcsi.2013.2256171 ↗