Infinitely many coexisting attractors of a dual memristive Shinriki oscillator and its FPGA digital implementation

Jin, Qiusen; Min, Fuhong; Li, Chunbiao

doi:10.1016/j.cjph.2019.09.035

Cited by 22 publications

(5 citation statements)

References 31 publications

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“…[15] Commonly used digital chips are microcontrollers, [16] digital signal processing (DSP) chips [17] and FPGA chips. [18][19][20] In this section, a digital chaotic oscillator is designed by a Xilinx FPGA chip. The Runge-Kutta-4 (RK-4) numerical method and 32-bit fixed point number (1-bit sign part, 7-bit integer part and 24-bit decimal part) are employed to realize this work.…”

Section: Fpga Implementation 41 Digital Oscillatormentioning

confidence: 99%

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation*

Peng¹,

Zeng²,

Xie³

2021

Chinese Phys. B

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Conservative chaotic flows have better ergodicity, therefore researching dynamics and applications of conservative systems has become a hot topic. We introduce a constant-perturbation into a 5-dimensional (5D) conservative model. Consequently, the line equilibria of original model have been changed to non-equilibrium. Plentiful chaos phenomena such as coexisting conservative flows can be observed in this modified system. In addition, by increasing the magnitude of the disturbance, the conservative system can be transformed to a dissipative system. Then, the modified system is realized by an xc7z020clg400 field programmable gate array (FPGA) chip. The designed chaotic oscillator consumes fewer resources and has high iteration speed. Finally, a pseudo random number generator based on this novel digital oscillator is designed.

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Section: Fpga Implementation 41 Digital Oscillatormentioning

confidence: 99%

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation*

Peng¹,

Zeng²,

Xie³

2021

Chinese Phys. B

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“…Then, investigations have been focused on various features of chaotic flows such as multistability and multi-scroll attractors. Dynamical properties of of a novel oscillator with extreme multistability was studied in [13]. A memristive oscillator with multiwing dynamics was discussed in [14].…”

Section: Introductionmentioning

confidence: 99%

A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis

El‐Latif

Janarthanan

Abd-El-Atty³

et al. 2022

Mathematics

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Data security represents an essential task in the present day, in which chaotic models have an excellent role in designing modern cryptosystems. Here, a novel oscillator with chaotic dynamics is presented and its dynamical properties are investigated. Various properties of the oscillator, like equilibria, bifurcations, and Lyapunov exponents (LEs), are discussed. The designed system has a center point equilibrium and an interesting chaotic attractor. The existence of chaotic dynamics is proved by calculating Lyapunov exponents. The region of attraction for the chaotic attractor is investigated by plotting the basin of attraction. The oscillator has a chaotic attractor in which its basin is entangled with the center point. The complexity of the chaotic dynamic and its entangled basin of attraction make it a proper choice for image encryption. Using the effective properties of the chaotic oscillator, a method to construct pseudo-random numbers (PRNGs) is proposed, then utilizing the generated PRNG sequence for designing secure substitution boxes (S-boxes). Finally, a new image cryptosystem is presented using the proposed PRNG mechanism and the suggested S-box approach. The effectiveness of the suggested mechanisms is evaluated using several assessments, in which the outcomes show the characteristics of the presented mechanisms for reliable cryptographic applications.

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“…Multistability in memristive systems has been exhaustedly explored, among which extreme multistability [14][15][16][17][18][19][20] and coexistence with infinitely many attractors [21][22][23][24] seem especially striking. In the area of information engineering, the number of coexisting attractors seems to be an important issue for effective information representation or signal acquisition.…”

Section: Introductionmentioning

confidence: 99%

Embedding any desired number of coexisting attractors in memristive system*

Li¹,

Wang²,

Ma³

et al. 2021

Chinese Phys. B

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A simple variable-boostable system is selected as the structure for hosting an arbitrarily defined memristor for chaos producing. The derived three-dimensional (3-D) memristive chaotic system shows its distinct property of offset, amplitude and frequency control. Owing its merits any desired number of coexisting attractors are embedded by means of attractor doubling and self-reproducing based on function-oriented offset boosting. In this circumstance two classes of control gates are found: one determines the number of coexisting attractors resorting to the independent offset controller whil the other is the initial condition selecting any one of them. Circuit simulation gives a consistent output with theoretically predicted embedded attractors.

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Infinitely many coexisting attractors of a dual memristive Shinriki oscillator and its FPGA digital implementation

Cited by 22 publications

References 31 publications

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation*

Dynamics analysis of a 5-dimensional hyperchaotic system with conservative flows under perturbation*

A Novel Chaos-Based Cryptography Algorithm and Its Performance Analysis

Embedding any desired number of coexisting attractors in memristive system*

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