Journal ArticleDOI
A simple memristor chaotic circuit with complex dynamics
TLDR
Some novel transient transition behaviors with different time scales are found in the memristor circuit, both theoretically and numerically.Abstract:
A simple memristor-based chaotic circuit with an active flux-controlled memristor characterized by a smooth continuous cubic nonlinearity is designed. The proposed chaotic circuit can generate a 2-scroll chaotic attractor on a finite time scale and has an equilibrium set with its stability dependent on the initial state of the memristor. The complex dynamics of the proposed chaotic circuit under different initial state of the memristor are investigated both theoretically and numerically. In particular, some novel transient transition behaviors with different time scales are found in the memristor circuit. Experimental observations based on a universal circuit implementation platform are conducted to partially verify the numerical simulation results.read more
Citations
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Journal ArticleDOI
Hidden extreme multistability in memristive hyperchaotic system
TL;DR: By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-dimensional chaotic system having one saddle and two stable node-foci, a novel memristive hyperchaotic system with coexisting infinitely many hidden attractors is presented in this paper.
Journal ArticleDOI
Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit
TL;DR: In this article, the multiple attractors with different initial states are revealed and with the dimensionless system equations, complex dynamics with various initial conditions are further discussed and theoretical derivation results indicate that the normalized memristive Chua's system has two stable nonzero saddle-foci in globally adjusting normalized parameter region and exhibits the unusual and striking dynamical behavior of multiple attractor with multistability.
Journal ArticleDOI
A Floating Analog Memristor Emulator Circuit
TL;DR: A mathematical model to characterize the memristor behavior was derived, showing a good accuracy among HSPICE simulations and experimental results, and the proposed Memristor emulator circuit can easily be reproducible at a low cost.
Journal ArticleDOI
Coexisting infinitely many attractors in active band-pass filter-based memristive circuit
TL;DR: In this paper, an inductor-free memristive circuit is implemented by linearly coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter, which exhibits the dynamical behaviors of point, period, chaos, and period doubling bifurcation route.
Journal ArticleDOI
Extreme multistability in a memristor-based multi-scroll hyper-chaotic system
TL;DR: The proposed memristor-based system possesses multiple complex dynamic behaviors compared with other chaotic systems, including equilibrium points and stability, bifurcation diagrams, Lyapunov exponents, and so on.
References
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Journal ArticleDOI
The missing memristor found
TL;DR: It is shown, using a simple analytical example, that memristance arises naturally in nanoscale systems in which solid-state electronic and ionic transport are coupled under an external bias voltage.
Journal ArticleDOI
Memristor-The missing circuit element
TL;DR: In this article, the memristor is introduced as the fourth basic circuit element and an electromagnetic field interpretation of this relationship in terms of a quasi-static expansion of Maxwell's equations is presented.
Journal ArticleDOI
Memristive switching mechanism for metal/oxide/metal nanodevices.
Jianhua Yang,Matthew D. Pickett,Xuema Li,Douglas A. A. Ohlberg,Duncan Stewart,R. Stanley Williams +5 more
TL;DR: Experimental evidence is provided to support this general model of memristive electrical switching in oxide systems, and micro- and nanoscale TiO2 junction devices with platinum electrodes that exhibit fast bipolar nonvolatile switching are built.
Journal ArticleDOI
Memristive devices and systems
Leon O. Chua,Sung-Mo Kang +1 more
TL;DR: In this article, a broad generalization of memristors to an interesting class of nonlinear dynamical systems called memristive systems is introduced, which are unconventional in the sense that while they behave like resistive devices, they can be endowed with a rather exotic variety of dynamic characteristics.
Journal Article
SPICE Model of Memristor with Nonlinear Dopant Drift
TL;DR: It is shown that the hitherto published approaches to the modeling of boundary conditions need not conform with the requirements for the behavior of a practical circuit element, and the described SPICE model of the memristor is constructed as an open model, enabling additional modifications of non-linear boundary conditions.