A Versatile Pulse Control Method to Generate Arbitrary Multidirection Multibutterfly Chaotic Attractors

Hong, Qinghui; Li, Ya; Wang, Xiaoping; Zeng, Zhigang

doi:10.1109/tcad.2018.2855121

Cited by 34 publications

(24 citation statements)

References 30 publications

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“…The specific properties of chaotic systems, such as initial state sensitive dependence, unpredictability, make them widely studied and applied in the field of information security [8]- [12]. These properties are similar to the counterparts of cryptography [9], [10], [22]. In this section, an image encryption scheme based on the proposed Chua's circuits with 19-and 21-segment piecewise-linear Chua's diodes are proposed to verify its merit for image security.…”

Section: Application In Image Secure Communicationmentioning

confidence: 97%

Generating Multi-Scroll Chua’s Attractors via Simplified Piecewise-Linear Chua’s Diode

Wang

Bao

et al. 2019

IEEE Trans. Circuits Syst. I

157

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High implementation complexity of multi-scroll circuit is a bottleneck problem in real chaos-based communication. Especially, in multi-scroll Chua's circuit, the simplified implementation of piecewise-linear resistors with multiple segments is difficult due to their intricate irregular breakpoints and slopes. To solve the challenge, this paper presents a systematic scheme for synthesizing a Chua's diode with multi-segment piecewiselinearity, which is achieved by cascading even-numbered passive nonlinear resistors with odd-numbered ones via a negative impedance converter. The traditional voltage mode op-amps are used to implement nonlinear resistors. As no extra DC bias voltage is employed, the scheme can be implemented by much simpler circuits. The voltage-current characteristics of the obtained Chua's diode are analyzed theoretically and verified by numerical simulations. Using the Chua's diode and a secondorder active Sallen-Key high-pass filter, a new inductor-free Chua's circuit is then constructed to generate multi-scroll chaotic attractors. Different number of scrolls can be generated by changing the number of passive nonlinear resistor cells or adjusting two coupling parameters. Besides, the system can be scaled by using different power supplies, satisfying the lowvoltage low-power requirement of integrated circuit design. The circuit simulations and hardware experiments both confirmed the feasibility of the designed system.

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Section: Application In Image Secure Communicationmentioning

confidence: 97%

Generating Multi-Scroll Chua’s Attractors via Simplified Piecewise-Linear Chua’s Diode

Wang

Bao

et al. 2019

IEEE Trans. Circuits Syst. I

157

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show abstract

“…In this subsection, according to the heteroclinic loop theorem [28], the equilibrium points and their stabilities are revealed by theoretical analysis and graph description. In system (1), lettingẋ=ẏ=ż=0, the equilibrium points of the system can be computed as…”

Section: A Stability For Infinite Discrete Equilibrium Pointsmentioning

confidence: 99%

“…It can be found from the column 3, 4, 6 of Table II that for [22,[24][25][26], the greater number (n) of wings or butterflies is generated, the more operational amplifiers (Opm) and resistors (R) are required. Although the number of operational amplifiers and resistors in [28] is unchanged with the increase of butterflies, the number of pulse generators (PG) is accordingly increased. In contrast, the designed multi-wing chaotic circuit requires fewer amplifiers and resistors, as compared with [22,[24][25][26]28], reducing area and power dissipation.…”

Section: B Comparison Of Related Multi-wing Circuitsmentioning

confidence: 99%

“…Although the number of operational amplifiers and resistors in [28] is unchanged with the increase of butterflies, the number of pulse generators (PG) is accordingly increased. In contrast, the designed multi-wing chaotic circuit requires fewer amplifiers and resistors, as compared with [22,[24][25][26]28], reducing area and power dissipation. It also does not require pulse generators.…”

Section: B Comparison Of Related Multi-wing Circuitsmentioning

confidence: 99%

“…Recently, numerous efforts are devoted to developing new MWCSs via using non-function control methods [27]. Particularly, by applying a multi-level pulse control method, Hong et al [28][29] proposed multiple new MWCSs with multibutterfly attractors. Such method significantly simplifies the circuit realization of multi-wing-type chaotic systems because of not using nonlinear polynomial functions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Lin

Wang

et al. 2021

IEEE Trans. Ind. Electron.

Self Cite

100

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Polynomial functions have been the main barrier restricting the circuit realization and engineering application of multi-wing chaotic systems (MWCSs). To eliminate this bottleneck, we construct a simple MWCS without polynomial functions by introducing a sinusoidal function in a Sprott C system. Theoretical analysis and numerical simulations show that the MWCS can not only generate multi-butterfly attractors with an arbitrary number of butterflies, but also adjust the number of the butterflies by multiple ways including self-oscillating time, control parameters, and initial states. To further explore the advantage of the proposed MWCS, we realize its analog circuit using commercially available electronic elements. The results demonstrate that in comparison to traditional MWCSs, our circuit implementation greatly reduces the consumption of electronic components. This makes the MWCS more suitable for many chaos-based engineering applications. Furthermore, we propose an application of the MWCS to chaotic image encryption. Histogram, correlation, information entropy, and key sensitivity show that the simple image encryption scheme has high security and reliable encryption performance. Finally, we develop a field-programmable gate array (FPGA) test platform to implement the MWCS-based image cryptosystem. Both theoretical analysis and experimental results verify the feasibility and availability of the proposed MWCS.

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Generation of multiscroll chaotic attractors of a finance system with mirror symmetry

Azam

Sunny²,

Aqeel³

2022

Soft Comput

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A Versatile Pulse Control Method to Generate Arbitrary Multidirection Multibutterfly Chaotic Attractors

Cited by 34 publications

References 30 publications

Generating Multi-Scroll Chua’s Attractors via Simplified Piecewise-Linear Chua’s Diode

Generating Multi-Scroll Chua’s Attractors via Simplified Piecewise-Linear Chua’s Diode

An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Generation of multiscroll chaotic attractors of a finance system with mirror symmetry

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