Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system

Lai, Qiang; Zhao, Xiao‐Wen; Rajagopal, Karthikeyan; Xu, Ge Ning; Akgül, Akif; Güleryüz, Emre

doi:10.1007/s12043-017-1493-x

Cited by 31 publications

(16 citation statements)

References 57 publications

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“…In the table, CR stands circuit realization. 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.…”

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%

“…The basic idea is that the nonlinear polynomial function would increase the number of index-2 equilibrium points where the wings could be produced. In recent years, more and more MWCSs have been presented by using other polynomial functions, for example, state feedback controller function [22], piecewise hysteresis function [23], sign function [24], and so on [25][26]. Nevertheless, in these efforts, there are three major drawbacks: (i) Both the system model and algorithm are very complex, as the nonlinear function has cumulative polynomials; (ii) It is inconvenient to adjust the number of the wings because of the mutual effect of multiple control parameters; (iii) The implementation of the circuit is more and more complicated with the increase of wings.…”

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.

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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Section: B Comparison Of Related Multi-wing Circuitsmentioning

confidence: 99%

Section: B Comparison Of Related Multi-wing Circuitsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Lin

Wang

et al. 2021

IEEE Trans. Ind. Electron.

100

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“…A 3D nonequilibrium chaotic system using RK4 numerical algorithm with IEEE 754-1985 floating-point number standard on Virtex-6 FPGA chip was designed in [93]. In [94], the implementation of multibutterfly chaotic system in FPGA by applying the Xilinx (Vivado) system generator was proposed. e objective of this study is twofold.…”

Section: Complexitymentioning

confidence: 99%

“…Meanwhile, in some chaotic information systems, digital implementation may be necessary, for example, in embedded chaos-based application areas and many other chaotic digital information systems. Digital chaotic generators have been implemented by varied structures such as Digital Signal Processor (DSP) [88,89] and Field Programmable Gate Array (FPGA) [90][91][92][93][94]. In order to calculate complex mathematical operations, the DSP chips are optimized operations sequentially.…”

Section: Introductionmentioning

confidence: 99%

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

Shen

Liu

et al. 2020

Complexity

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In this paper, a multistable modified fourth-order autonomous Chua’s chaotic system is investigated. In addition to the dynamic characteristics of the third-order Chua’s chaotic system itself, what interests us is that this modified fourth-order autonomous Chua’s chaotic system has five different types of coexisting attractors: double-scroll, single band chaotic attractor, period-4 limit cycle, period-2 limit cycle, and period-1 limit cycle. Then, an inductorless modified fourth-order autonomous Chua’s chaotic circuit is proposed. The active elements as well as the synthetic inductor employed in this circuit are designed using second-generation current conveyors (CCIIs). The reason for using CCIIs is that they have high conversion rate and operation speed, which enable the circuit to work at a higher frequency range. The Multisim simulations confirm the theoretical estimates of the performance of the proposed circuit. Finally, using RK-4 numerical algorithm of VHDL 32-bit IQ-Math floating-point number format, the inductorless modified fourth-order autonomous Chua’s chaotic system is implemented on FPGA for the development of embedded engineering applications based on chaos. The system is simulated and synthesized on Virtex-6 FPGA chip. The maximum operating frequency of modified Chua’s chaotic oscillator based on FPGA is 180.180 MHz. This study demonstrates that the hardware-based multistable modified fourth-order autonomous Chua’s chaotic system is a very good source of entropy and can be applied to various embedded systems based on chaos, including secure communication, cryptography, and random number generator.

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FPGA Implementation of Integer/Fractional Chaotic Systems

El-Maksoud

El-Kader

Hassan

et al. 2020

Multimedia Security Using Chaotic Maps: Principles and Methodologies

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Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system

Cited by 31 publications

References 57 publications

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

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

CCII and FPGA Realization: A Multistable Modified Fourth-Order Autonomous Chua’s Chaotic System with Coexisting Multiple Attractors

FPGA Implementation of Integer/Fractional Chaotic Systems

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