Everything You Wish to Know About Memristors But Are Afraid to Ask

Chua, Leon O.

doi:10.13164/re.2015.0319

Cited by 378 publications

(235 citation statements)

References 33 publications

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“…All its nontrivial solutions are then obtained by solving a biquadratic equation. Their expressions are reported in (37) and (38). (32) and (34) can be simplified as follows:…”

Section: Remarkmentioning

confidence: 99%

Harmonic balance method to analyze bifurcations in memristor oscillatory circuits

Marco

Forti

Innocenti

et al. 2017

Circuit Theory & Apps

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SUMMARYThe paper studies nonlinear dynamics and bifurcations of a class of memristor oscillatory circuits obtained by replacing the nonlinear resistor of a Chua's oscillator with a flux-controlled memristor. A recently developed technique, named flux-charge analysis method, has shown that the state space of such circuits can be decomposed in invariant manifolds, where each manifold is characterized by a different dynamics and different attractors. Goal of the paper is to investigate the use of the harmonic balance method in combination with flux-charge analysis method in order to study the different kinds of bifurcations generated by changing the circuit parameters on a fixed manifold, changing manifold for a fixed parameter set (bifurcations without parameters), or changing simultaneously circuit parameters and manifolds. The main result is that the harmonic balance method is quite simple to apply in this rich bifurcation context and is effective to detect Hopf and to accurately predict period-doubling bifurcations of all these different kinds.

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“…All its nontrivial solutions are then obtained by solving a biquadratic equation. Their expressions are reported in (37) and (38). (32) and (34) can be simplified as follows:…”

Section: Remarkmentioning

confidence: 99%

Harmonic balance method to analyze bifurcations in memristor oscillatory circuits

Marco

Forti

Innocenti

et al. 2017

Circuit Theory & Apps

View full text Add to dashboard Cite

show abstract

“…In the general case, a memristive system (now called extended memristor [33]) is defined by a set of two equations. For a voltage-controlled device, they are in the form…”

Section: General Modeling Frameworkmentioning

confidence: 99%

Modeling and simulation of large memristive networks

Biolek

Kolka

Biolková

et al. 2017

Circuit Theory & Apps

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SUMMARYThe paper deals with the modeling of memristors operating in extremely large memristive networks such as crossbar structures for memory and computational circuits, memristor-based neural networks or circuits for massively parallel analog computations. Because the non-convergence and other numerical problems increase with increasing complexity of the simulated circuit, suitable models of the individual memristors need to be choicely developed and optimized. Three different models are considered, each representing a specific trade-off between speed and accuracy. Benchmark circuits for testing the applications of various complexities are used for the transient analysis in HSPICE. It is shown how the models can be modified to minimize the simulation time and improve the convergence.

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“…Brojni radovi iz ove oblasti [3][4][5][6][7][8][9][10][11][12][13][14] ukazuju na interesovanje naučne javnosti za ovu temu.…”

Section: Uvodunclassified

Possibility of applying memristors in microwave filters

Marković¹,

Potrebić²,

Tošić³

2016

Tehnika

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Everything You Wish to Know About Memristors But Are Afraid to Ask

Abstract: Abstract. This paper classifies all memristors into three classes called

Cited by 378 publications

References 33 publications

Harmonic balance method to analyze bifurcations in memristor oscillatory circuits

Harmonic balance method to analyze bifurcations in memristor oscillatory circuits

Modeling and simulation of large memristive networks

Possibility of applying memristors in microwave filters

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