A Simple Memristor Chaotic Circuit With Complex Dynamics

Bao, Bocheng; Ma, Zhenghua; Xu, Jianping; Liu, Zhong; Xu, Quan

doi:10.1142/s0218127411029999

Cited by 151 publications

(63 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to the unique nonlinear characteristics of memristors [1], an explosive growth study of memristor based circuits has been boosted up in the past years [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Unfortunately, induced by technical handicaps in fabricating nanoscale memristor, the commercial memristor is not expected to be available in the near future.…”

Section: Introductionmentioning

confidence: 99%

An Improved Memristive Diode Bridge‐Based Band Pass Filter Chaotic Circuit

Zhang

Wang

et al. 2017

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

By replacing a series resistor in active band pass filter (BPF) with an improved memristive diode bridge emulator, a third-order memristive BPF chaotic circuit is presented. The improved memristive diode bridge emulator without grounded limitation is equivalently achieved by a diode bridge cascaded with only one inductor, whose fingerprints of pinched hysteresis loop are examined by numerical simulations and hardware experiments. The memristive BPF chaotic circuit has only one zero unstable saddle point but causes complex dynamical behaviors including period, chaos, period doubling bifurcation, and coexisting bifurcation modes. Specially, it should be highly significant that two kinds of bifurcation routes are displayed under different initial conditions and the coexistence of three different topological attractors is found in a narrow parameter range. Moreover, hardware circuit using discrete components is fabricated and experimental measurements are performed, upon which the numerical simulations are validated. Notably, the proposed memristive BPF chaotic circuit is only third-order and has simple topological structure.

show abstract

Section: Introductionmentioning

confidence: 99%

An Improved Memristive Diode Bridge‐Based Band Pass Filter Chaotic Circuit

Zhang

Wang

et al. 2017

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…As in Section 4, our goal in the analysis carried out below is to get an index characterization holding without the need to require memristors (or other circuit elements) to be passive. This way, the results here obtained will be of interest in the analysis of nonlinear oscillators and chaotic circuits including active memristors [5,33,50].…”

Section: W(ip) = A'(ip)mentioning

confidence: 68%

“…Note that the index characterization here obtained will be of particular interest in the design of nonlinear oscillators and chaotic circuits including active memristors (cf. [5,33,50]). …”

Section: Introductionmentioning

confidence: 99%

Hybrid Analysis of Nonlinear Circuits: DAE Models with Indices Zero and One

Vega

Riaza

2013

Circuits Syst Signal Process

View full text Add to dashboard Cite

We extend in this paper some previous results concerning the differential-algebraic index of hybrid models of electrical and electronic circuits. Specifically, we present a comprehensive index characterization which holds without passivity requirements, in contrast to previous approaches, and which applies to nonlinear circuits composed of uncoupled, one-port devices. The index conditions, which are stated in terms of the forest-structure of certain digraph minors, do not depend on the specific tree chosen in the formulation of the hybrid equations. Additionally, we show how to include memristors in hybrid circuit models; in this direction, we extend the index analysis to circuits including active memristors, which have been recently used in the design of nonlinear oscillators and chaotic circuits. We also discuss the extension of these results to circuits with controlled sources, making our framework of interest in the analysis of circuits with transistors, amplifiers and other multiterminal devices.

show abstract

“…In this section, detailed dynamical behaviors of the proposed memristive circuit are analyzed by utilizing several conventional dynamical methods [1,2,[9][10][11][12], in which the circuit parameters are set as illustrated in Table 1, and L is selected as a varying parameter.…”

Section: Complex Dynamics In the Memristive Chaotic Circuitmentioning

confidence: 99%

“…According to Equation (1), the generalized memristor is voltage-controlled and its memductance can be expressed by: …”

Section: Introductionmentioning

confidence: 99%

A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Chen

et al. 2014

Entropy

Self Cite

View full text Add to dashboard Cite

Abstract:A novel memristor circuit is presented, which is generated from the canonical Chua's circuit by replacing the Chua's diode with a first order memristive diode bridge. The circuit dynamical characteristics with the variations of circuit parameters are investigated both theoretically and numerically. It can be found that the circuit has three determined equilibrium points, including a zero saddle point and two nonzero saddle-foci with index 2. Specially, the circuit is non-dissipative in the neighborhood of the zero saddle point, and there exists complex nonlinear phenomena of coexisting bifurcation modes and coexisting chaotic attractors. Experimental observations are performed to verify the numerical simulation results.

show abstract

A Simple Memristor Chaotic Circuit With Complex Dynamics

Cited by 151 publications

References 25 publications

An Improved Memristive Diode Bridge‐Based Band Pass Filter Chaotic Circuit

An Improved Memristive Diode Bridge‐Based Band Pass Filter Chaotic Circuit

Hybrid Analysis of Nonlinear Circuits: DAE Models with Indices Zero and One

A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Contact Info

Product

Resources

About