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The recent design of a nanoscale device with a memristive characteristic has had a great impact in nonlinear circuit theory. Such a device, whose existence was predicted by Leon Chua in 1971, is governed by a charge-dependent…

Dynamical Systems · Mathematics 2010-08-17 Ricardo Riaza

In this paper we report the occurrence of sliding bifurcations admitted by the memristive Murali-Lakshmanan-Chua circuit \cite{icha13} and the memristive driven Chua oscillator \citep{icha11}. Both of these circuits have a flux-controlled…

Adaptation and Self-Organizing Systems · Physics 2020-05-12 A. Ishaq Ahamed , M. Lakshmanan

We present a tutorial on the properties of the new ideal circuit element, a memristor. By definition, a memristor M relates the charge q and the magnetic flux $\phi$ in a circuit, and complements a resistor R, a capacitor C, and an inductor…

Mesoscale and Nanoscale Physics · Physics 2009-05-05 Yogesh N. Joglekar , Stephen J. Wolf

A memristor is one of four fundamental two-terminal solid elements in electronics. In addition with the resistor, the capacitor and the inductor, this passive element relates the electric charges to current in solid state elements. Here we…

Disordered Systems and Neural Networks · Physics 2017-06-05 Philippe Ben-Abdallah

In this paper, a memristive Murali-Lakshmanan-Chua (MLC) circuit is built by replacing the nonlinear element of an ordinary MLC circuit, namely the Chua's diode, with a three segment piecewise linear active flux controlled memristor. The…

Chaotic Dynamics · Physics 2015-06-15 A. Ishaq Ahamed , M. Lakshmanan

A generalized approach for the implementation of memristive two-terminal circuits with piesewise-smooth characteristics is proposed on the example of a multifunctional circuit based on a transistor switch. Two versions of the circuit are…

Adaptation and Self-Organizing Systems · Physics 2022-10-06 Vladimir V. Semenov

We present both an overview and a perspective of recent experimental advances and proposed new approaches to performing computation using memristors. A memristor is a 2-terminal passive component with a dynamic resistance depending on an…

Emerging Technologies · Computer Science 2022-09-13 Francesco Caravelli , Juan Pablo Carbajal

In this paper we revisit the memristor concept within circuit theory. We start from the definition of the basic circuit elements, then we introduce the original formulation of the memristor concept and summarize some of the controversies on…

Systems and Control · Electrical Eng. & Systems 2021-02-24 Bernardo Tellini , Mauro Bologna , Kristopher J. Chandia , Massimo Macucci

In 1971 the memristor was originally postulated as a new non-linear circuit element relating the time integrals of current and voltage. More recently researchers at HPLabs have linked the theoretical memristor concept to resistance…

Mesoscale and Nanoscale Physics · Physics 2010-03-16 Blaise Mouttet

The prediction made by L. O. Chua 45+ years ago (see: IEEE Trans. Circuit Theory (1971) 18:507-519 and also: Proc. IEEE (2012) 100:1920-1927) about the existence of a passive circuit element (called memristor) that links the charge and flux…

Emerging Technologies · Computer Science 2017-03-14 Wieslaw Marszalek , Zdzislaw Trzaska

Recently, in addition to the well-known resistor, capacitor and inductor, a fourth passive circuit element, named memristor, has been identified following theoretical predictions. The model example used in such case consisted in a nanoscale…

Mesoscale and Nanoscale Physics · Physics 2009-11-21 Yu. V. Pershin , M. Di Ventra

We investigate the effect of memory on a chaotic system experimentally and theoretically. For this purpose, we use Chua's oscillator as an electrical model system showing chaotic dynamics extended by a memory element in form of a…

Conceptual memristors have recently gathered wider interest due to their diverse application in non-von Neumann computing, machine learning, neuromorphic computing, and chaotic circuits. We introduce a compact CMOS circuit that emulates…

Emerging Technologies · Computer Science 2017-11-21 Vishal Saxena

Memristor is the fourth fundamental passive circuit element with potential applications in development of analog memories, artificial brains (with the capacity of hardware training) and neuro-science. In most of these applications the…

Other Computer Science · Computer Science 2013-02-06 Farshad Merrikh-Bayat , Nafiseh Mirebrahimi , Farhad Bayat

In 1971, Chua defined an ideal memristor that links charge q and flux phi. In this work, we demonstrated that the direct interaction between physical charge q and physical flux phi is memristive by nature in terms of a time-invariant phi-q…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Frank Zhigang Wang

Several devices exhibiting memory effects have shown up in nonlinear circuit theory in recent years. Among others, these circuit elements include Chua's memristors, as well as memcapacitors and meminductors. These and other related devices…

Dynamical Systems · Mathematics 2013-07-09 Ricardo Riaza

The simplest electronic circuit with a memristor was recently proposed. Chaotic attractors solution to this memristive circuit are topologically characterized and compared to Rossler-like attractors.

Dynamical Systems · Mathematics 2014-08-19 Jean-Marc Ginoux , Christophe Letellier , Leon L. O. Chua

Nonlinearity is a central feature in demanding computing applications that aim to deal with tasks such as optimization or classification. Furthermore, the consensus is that nonlinearity should not be only exploited at the algorithm level,…

Emerging Technologies · Computer Science 2023-08-21 Manuel Escudero , Sabina Spiga , Mauro di Marco , Mauro Forti , Giacomo Innocenti , Alberto Tesi , Fernando Corinto , Stefano Brivio

Memristors offer significant advantages as in-memory computing devices due to their non-volatility, low power consumption, and history-dependent conductivity. These attributes are particularly valuable in the realm of neuromorphic circuits…

Neural and Evolutionary Computing · Computer Science 2024-07-19 Julio Souto , Guillermo Botella , Daniel García , Raúl Murillo , Alberto del Barrio

The interest in memristors has risen due to their possible application both as memory units and as computational devices in combination with CMOS. This is in part due to their nonlinear dynamics, and a strong dependence on the circuit…

Emerging Technologies · Computer Science 2022-09-21 Francesco Caravelli