A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Chen, Mo; Yu, Jen‐te; Yu, Qin; Li, Changdi; Bao, Bocheng

doi:10.3390/e16126464

Cited by 50 publications

(17 citation statements)

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“…Chen et al were the first who replaced the nonlinear element in a nonlinear circuit with first-order memristive diode bridge. [29] Complex nonlinear phenomena including coexisting bifurcation modes and attractors have been discovered in this circuit. Another interesting memristive chaotic circuit was derived from the classical Chua's circuit by substituting the Chua's diode with the aforementioned generalized memristor.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Antimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit

Volos

Akgül

Pham

et al. 2017

J CIRCUIT SYST COMP

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In this work a memristive circuit consisting of a first-order memristive diode bridge is presented. The proposed circuit is the simplest memristive circuit containing the specific circuitry realization of the memristor to be so far presented in the literature. Characterization of the proposed circuit confirms its complex dynamic behavior, which is studied by using well-known numerical tools of nonlinear theory, such as bifurcation diagram, Lyapunov exponents and phase portraits. Various dynamical phenomena concerning chaos theory, such as antimonotonicity, which is observed for the first time in this type of memristive circuits, crisis phenomenon and multiple attractors, have been observed. An electronic circuit to reproduce the proposed memristive circuit was designed, and experiments were conducted to verify the results obtained from the numerical simulations.

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Section: Introductionmentioning

confidence: 99%

“…[33] In this paper, we propose the simplest memristor-based circuit containing the first-order memristor bridge of Ref. [28], in regard to the aforementioned works [29][30][31][32][33]. The circuit has been designed in such a way that the firstorder memristive diode bridge acts as a nonlinear element.…”

Section: Introductionmentioning

confidence: 99%

Antimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit

Volos

Akgül

Pham

et al. 2017

J CIRCUIT SYST COMP

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“…There have been many papers about the memristor [ 5 , 6 , 7 , 8 , 9 ]. In [ 6 ], a novel complex Lorenz system with a flux-controlled memristor is introduced and investigated.…”

Section: Introductionmentioning

confidence: 99%

Complex Dynamics in a Memcapacitor-Based Circuit

Yuan

Wang

et al. 2019

Entropy

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In this paper, a new memcapacitor model and its corresponding circuit emulator are proposed, based on which, a chaotic oscillator is designed and the system dynamic characteristics are investigated, both analytically and experimentally. Extreme multistability and coexisting attractors are observed in this complex system. The basins of attraction, multistability, bifurcations, Lyapunov exponents, and initial-condition-triggered similar bifurcation are analyzed. Finally, the memcapacitor-based chaotic oscillator is realized via circuit implementation with experimental results presented.

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“…In recent years, memristor-based chaotic circuits, most of all memristive Chua's chaotic circuits, have broadly been studied [3][4][5][6][7][8][9][10]. By substituting the nonlinear resistance elements, Chua's diodes, in various kinds of Chua's chaotic circuits, including classical Chua's circuit [3][4][5][6][7][8], canonical Chua's circuit [9][10][11], and modified Chua's circuit [12,13], with memristors of different nonlinearities [4,7,12], a wide class of memristive Chua's chaotic circuits are presented and some novel features of initial state dependent dynamical behaviors are reported [3,5,10,11]. However, no research literature related to memristor-based Colpitts chaotic oscillator can be found so far.…”

Section: Introductionmentioning

confidence: 99%

Colpitts Chaotic Oscillator Coupling with a Generalized Memristor

Lü

Zhao

et al. 2015

Mathematical Problems in Engineering

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By introducing a generalized memristor into a fourth-order Colpitts chaotic oscillator, a new memristive Colpitts chaotic oscillator is proposed in this paper. The generalized memristor is equivalent to a diode bridge cascaded with a first-order parallel RC filter. Chaotic attractors of the oscillator are numerically revealed from the mathematical model and experimentally captured from the physical circuit. The dynamics of the memristive Colpitts chaotic oscillator is investigated both theoretically and numerically, from which it can be found that the oscillator has a unique equilibrium point and displays complex nonlinear phenomena.

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A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Cited by 50 publications

References 20 publications

Antimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit

Antimonotonicity, Crisis and Multiple Attractors in a Simple Memristive Circuit

Complex Dynamics in a Memcapacitor-Based Circuit

Colpitts Chaotic Oscillator Coupling with a Generalized Memristor

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