Asymmetric coexisting bifurcations and multi-stability in an asymmetric memristive diode-bridge-based Jerk circuit

Xu, Quan; Cheng, Sheng; Ju, Zhutao; Chen, Mo; Wu, Hsuan-Chung

doi:10.1016/j.cjph.2020.11.007

Cited by 61 publications

(23 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…e famous and interesting behavior of multistability in the dynamical system was shown in the optical chain by [58] and in the isolation of a new defect in n-type silicon [59,60]. It was recently encountered in well-known systems such as Chua ( [61]) and Sprott [62], jerk system [63]. A simple technique to detect this property is to scan the bifurcation diagram upward and downward using the same control parameter (see Figure 4).…”

Section: Multistabilitymentioning

confidence: 99%

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Kitio

Ainamon

Rajagopal

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

An electronic implementation of a novel Wien bridge oscillation with antiparallel diodes is proposed in this paper. As a result, we show by using classical nonlinear dynamic tools like bifurcation diagrams, Lyapunov exponent plots, phase portraits, power density spectra graphs, time series, and basin of attraction that the oscillator transition to chaos is operated by intermittency and interior crisis. Some interesting behaviors are found, namely, multistability, hyperchaos, transient chaos, and bursting oscillations. In comparison with some memristor-based oscillators, the plethora of dynamics found in this circuit with current-voltage (i–v) characteristic of diodes mounted in the antiparallel direction represents a major advance in the knowledge of the behavior of this circuit. A suitable microcontroller based design is built to support the numerical findings as these experimental results are in good agreement.

show abstract

Section: Multistabilitymentioning

confidence: 99%

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Kitio

Ainamon

Rajagopal

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…At present, chaotic dynamics is gradually transitioning from the basic theoretical research of mathematics and physics to the practical engineering application field. For example, chaotic theory has been greatly developed in the fields of memristor [1][2][3][4][5][6], secure communication [7][8][9][10][11], image encryption [12][13][14][15][16][17], neural network [18][19][20][21][22][23][24][25][26][27][28][29], so chaotic dynamics has a wide application prospect. A key factor in the application of chaos in engineering is to improve the complex dynamic characteristics of chaos.…”

Section: Introductionmentioning

confidence: 99%

Design of Grid Multi-Wing Chaotic Attractors Based on Fractional-Order Differential Systems

Lin

Zhou²,

Gong³

et al. 2022

Front. Phys.

View full text Add to dashboard Cite

In this article, a new method for generating grid multi-wing chaotic attractors from fractional-order linear differential systems is proposed. In order to generate grid multi-wing attractors, we extend the method of constructing heteroclinic loops from classical differential equations to fractional-order differential equations. Firstly, two basic fractional-order linear systems are obtained by linearization at two symmetric equilibrium points of the fractional-order Rucklidge system. Then a heteroclinic loop is constructed and all equilibrium points of the two basic fractional-order linear systems are connected by saturation function switching control. Secondly, the theoretical methods of switching control and construction of heteromorphic rings of fractal-order two-wing and multi-wing chaotic attractors are studied. Finally, the feasibility of the proposed method is verified by numerical simulation.

show abstract

“…Probe Simulation Program with Integrated Circuits Emphasis (PSpice) simulations and experimental measurements were used to verify the theoretical and numerical analyses. Thereafter, on the grounds that most of the pinched hysteresis loops are asymmetric for many real memristive devices, Xu et al 12 and Hua et al 13 have proposed and analyzed two types of asymmetric memristive diode bridge‐based chaotic jerk oscillators. They showed that the asymmetric pinched‐hysteresis loop leads to new and more complex phenomena like asymmetric basins of attraction, asymmetric coexisting attractors, and asymmetric coexisting bifurcations.…”

Section: Introductionmentioning

confidence: 99%

Image encryption using a novel quintic jerk circuit with adjustable symmetry

Kengne

Nkandeu

Pone

et al. 2021

Circuit Theory & Apps

View full text Add to dashboard Cite

Summary An electronic implementation of a novel chaotic oscillator with quintic nonlinearity is proposed herein. Dynamical behaviors of the system are investigated using well‐known numerical simulations and analyses such as phase portraits, Lyapunov exponents, bifurcation diagrams, and basins of attraction. The chaotic circuit presents an inversion‐symmetry, and we show that it can exhibit some nonlinear phenomena specific to symmetric systems, such as symmetric bifurcations, symmetric attractors, coexisting symmetric bubbles, and coexisting symmetric attractors. Since symmetry is never perfect, some symmetry imperfections must be always assumed to be present. Thus, an external Direct Current (DC) voltage is introduced in order to highlight the influence of asymmetry on the dynamics of the chaotic oscillator. It is found that more complex nonlinear behaviors occur in the presence of symmetry breaking like asymmetric coexisting bifurcations, asymmetric attractors, coexisting asymmetric bubbles, and coexisting asymmetric attractors, to name a few. The control of multistability is also performed by using the so‐called linear augmentation scheme. Probe Simulation Program with Integrated Circuits Emphasis (Pspice) circuit simulations are carried out to verify the theoretical analyses. Furthermore, a chaos‐based image encryption is investigated using pseudorandom numbers generated by the proposed chaotic circuit and deoxyribonucleic acid (DNA) encoding technique.

show abstract

Asymmetric coexisting bifurcations and multi-stability in an asymmetric memristive diode-bridge-based Jerk circuit

Cited by 61 publications

References 44 publications

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Design of Grid Multi-Wing Chaotic Attractors Based on Fractional-Order Differential Systems

Image encryption using a novel quintic jerk circuit with adjustable symmetry

Contact Info

Product

Resources

About