A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

Sambas, Aceng; Vaidyanathan, Sundarapandian; Tlelo‐Cuautle, Esteban; Abd-El-Atty, Bassem; El‐Latif, Ahmed A. Abd; Guillén-Fernández, Omar; Sukono, Sukono; Hidayat, Yuyun; Gundara, Gugun

doi:10.1109/access.2020.3011724

Cited by 143 publications

(63 citation statements)

References 54 publications

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“…Data protection during transmission is an urgent problem which needs development of robust cryptography algorithm to guaranty confidentiality in multimedia communication. One way is to use PRNS generated by chaotic circuit to confuse data refractory to classical encryption like numerical image 41,42 . We proposed to use the PRNS generated in a DNA encryption algorithm for image encryption.…”

Section: Application To Image Cryptographymentioning

confidence: 99%

Image encryption using a novel quintic jerk circuit with adjustable symmetry

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et al. 2021

Circuit Theory & Apps

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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.

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Section: Application To Image Cryptographymentioning

confidence: 99%

Image encryption using a novel quintic jerk circuit with adjustable symmetry

Kengne

Nkandeu

Pone

et al. 2021

Circuit Theory & Apps

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“…3. Although the RK5-B has a similar structure with the RK4 (Fourth Order Runge-Kutta Algorithm) algorithm, this algorithm also produces more precise solutions than the RK4 and Euler algorithms since it has fifth and sixth order terms (Tlelo-Cuautle et al 2015;Pano-Azucena et al 2018;Sambas et al 2020).…”

Section: Pwco and Ring Based Dec Trng On Fpgamentioning

confidence: 99%

FPGA-based Dual Core TRNG Design Using Ring and Runge-Kutta-Butcher based on Chaotic Oscillator

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et al. 2021

Chaos Theory and Applications

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Despite the fact that chaotic systems do not have very complex circuit structures, interest in chaotic systems has increased considerably in recent years due to their interesting dynamic properties. Thanks to the noise-like properties of chaotic oscillators and the ability to mask information signals, great efforts have been made in recent years to develop chaos-based TRNG structures. In this study, a new chaos-based Dual Entropy Core (DEC) TRNG with high operating frequency and high bit generation rate was realized using 3D Pehlivan-Wei Chaotic Oscillator (PWCO) structure designed utilizing RK5-Butcher numerical algorithm on FPGA and ring oscillator structure. In the FPGA-based TRNG model of the system, 32-bit IQ-Math fixed-point number standard is used. The developed model is coded using VHDL. The designed TRNG unit was synthesized for Virtex-7 XC7VX485T-2FFG1761 chip produced by Xilinx. Then, the statistics of the parameters of FPGA chip resource usage and unit clock speed were examined. The data processing time of the TRNG unit was achieved by using the Xilinx ISE Design Tools 14.2 simulation program, with a high bit production rate of 437.043 Mbit/s. In addition, number sequences obtained from FPGA-based TRNG were subjected to the internationally valid statistical NIST 800-22 Test Suite and all the randomness tests of NIST 800-22 Test Suite were successful.

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“…Therefore, all outputs coming from FPGA realization still belong to simulation results, more likely related to numerical integration process in mathematical environment rather than connected with real measurement. Several interesting papers can be addressed for more details about FPGA-based design, for example [32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Hyperchaotic Self-Oscillations of Two-Stage Class C Amplifier With Generalized Transistors

Petržela

2021

IEEE Access

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This paper yields process of development, numerical analysis, lumped circuit modeling, and experimental verification of a new hyperchaotic oscillator based on the fundamental topology of two-stage amplifier. Analyzed network structure contains two generalized bipolar transistors connected with common emitter. Both transistors are initially modeled as two-ports via full admittance matrix, considering linear backward trans-conductance and polynomial forward trans-conductance. As proved in paper, these two scalar nonlinearities can push amplifier to exhibit robust hyperchaotic behavior with significantly high Kaplan-Yorke dimension. Regions of chaos and hyperchaos in a space of admittance parameters associated with both transistors are specified following the concept of positive values of Lyapunov exponents. Long time structural stability of generated hyperchaotic waveforms is proved by construction of flow-equivalent electronic circuit and experimental measurement, that is by screenshots captured by oscilloscope.INDEX TERMS Admittance parameters, bipolar transistor, class C amplifier, chaos, chaotic oscillator, hyperchaos, Lyapunov exponents, strange attractors.

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A 3-D Multi-Stable System With a Peanut-Shaped Equilibrium Curve: Circuit Design, FPGA Realization, and an Application to Image Encryption

Cited by 143 publications

References 54 publications

Image encryption using a novel quintic jerk circuit with adjustable symmetry

Image encryption using a novel quintic jerk circuit with adjustable symmetry

FPGA-based Dual Core TRNG Design Using Ring and Runge-Kutta-Butcher based on Chaotic Oscillator

Hyperchaotic Self-Oscillations of Two-Stage Class C Amplifier With Generalized Transistors

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