A Floating Memristor Emulator Based Relaxation Oscillator

Yu, Dongsheng; Iu, Herbert Ho-Ching; Fitch, Andrew L; Liang, Yan

doi:10.1109/tcsi.2014.2333687

Cited by 146 publications

(52 citation statements)

References 25 publications

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“…1. In accordance with (3) and (4), a flux controlled and coupled ideal MR system can be described by the following set of equations, (5a) (5b) (5c) Many MR emulator circuits have been proposed to exhibit the dynamic behavior of flux controlled MRs [8], [14], [17], [18]. A linear flux-controlled memductance can be written as (6) where is a constant which determines the variation rate of memductance and is regarded as the initial memductance value.…”

Section: Coupled Mrsmentioning

confidence: 99%

“…From (3), (7), (8), and (9b), the following set of differential equations can be obtained for describing this circuit,…”

Section: A Serial Mr Circuit With Identical Polaritiesmentioning

confidence: 99%

“…In addition to these preceding researches of discovering the behavior of single MR, behaviors of multiple MRs in composite connections have also attracted intensive research attentions regarding the intrinsic nonlinearities and polarity dependence of individual MRs [19]. Memristive behavior of two floating MR emulators connected in serial and parallel are experimentally evaluated in [8] where only the connections with identical polarity directions are taken into account. By exploiting the threshold-dependent resistance switching behavior of single MR and connection compositions, novel computational methods and reconfigurable structures are proposed in [9].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Behavior of Coupled Memristor Circuits

Liang

et al. 2015

IEEE Trans. Circuits Syst. I

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This paper reports on the dynamic behavior of dual coupled memristors (MRs) in serial and parallel connections in consideration of polarity combination and coupling strength. Based on the constitutive relations, two flux coupled MRs are adopted for demonstration to theoretically exhibit the variation of memductance in terms of flux, charge, voltage, and current. The coupled MRs are also serially connected with a regular resistor to further explore its memristive behavior. Theoretical analysis reported in this paper is confirmed via a simulation study, and then an experimental investigation is carried out using a practical circuit emulating the dual coupled MRs. Good agreement between experimental and simulation results confirms that dual coupled MRs in composite connections behave as a new MR with higher complexity.

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Section: Coupled Mrsmentioning

confidence: 99%

“…From (3), (7), (8), and (9b), the following set of differential equations can be obtained for describing this circuit,…”

Section: A Serial Mr Circuit With Identical Polaritiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic Behavior of Coupled Memristor Circuits

Liang

et al. 2015

IEEE Trans. Circuits Syst. I

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“…The behavior of two memristor emulators in both serial and parallel connections are experimentally evaluated in Ref. [7], however, only identical polarity directions are considered. Two charge controlled memristors are connected in series and in parallel in Ref.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Coupled Memristive-Based Architectures Applicable to Neural Network Models

Eshraghian¹,

Iu²,

KamranEshraghian³

2018

Memristor and Memristive Neural Networks

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This chapter explores the dynamic behavior of dual flux coupled memristor circuits in order to explore the uncharted territory of the fundamental theory of memristor circuits. Neuromorphic computing anticipates highly dense systems of memristive networks, and with nanoscale devices within such close proximity to one another, it is anticipated that flux and charge coupling between adjacent memristors will have a bearing upon their operation. Using the constitutive relations of memristors, various cases of flux coupling are mathematically modeled. This involves analyzing two memristors connected in composite, both serially and in parallel in various polarity configurations. The new behavior of two coupled memristors is characterized based on memristive state equations, and memductance variation represented in terms of voltage, current, charge and flux. The rigorous mathematical analysis based on the fundamental circuit equations of ideal memristors affirms the memristor closure theorem, where coupled memristor circuits behave as different types of memristors with higher complexity.

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“…In addition, generalized analysis of symmetric and asymmetric memristive two-gate relaxation oscillators has been discussed in [11]. Recently, a floating memristor emulator based relaxation oscillator has been analytically probed and experimentally tested in [12].…”

Section: Introductionmentioning

confidence: 99%

A memristive astable multivibrator based on 555 timer

Zheng

et al. 2015

2015 IEEE International Symposium on Circuits and Systems (ISCAS)

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The main purpose of this paper is to explore the oscillating characteristics of an astable multivibrator based on memristor and 555 timer. An analog circuit is utilized to simulate magnetic flux controlled memristor and then applied to implement the astable multivibrator. The voltage across the memristor emulator is analytically calculated. Simulation is carried out to confirm the theoretical analysis. The agreement between simulation and analytical calculation validates the feasibility of using memritor to achieve astable multivibrator.I.

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A Floating Memristor Emulator Based Relaxation Oscillator

Cited by 146 publications

References 25 publications

Dynamic Behavior of Coupled Memristor Circuits

Dynamic Behavior of Coupled Memristor Circuits

Modeling of Coupled Memristive-Based Architectures Applicable to Neural Network Models

A memristive astable multivibrator based on 555 timer

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