Quantum Harmonic Oscillator and Schrodinger Paradox Based Nonlinear Confusion Component

Tariq, Sundas; Elmoasry, Ahmed; Batool, Syeda Iram; Khan, Majid

doi:10.1007/s10773-020-04616-9

Cited by 8 publications

(2 citation statements)

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“…s corresponds to the second-order differential operation in the time domain. The  order operator s  can be realized by the  order fractional anti-approximation circuit [5].…”

Section: Mathematical Principle Of Circuit Simulation Solution Methodsmentioning

confidence: 99%

Electronic Information Security Model of Nonlinear Differential Equations

Feng

Alhamami

2022

Applied Mathematics and Nonlinear Sciences

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The electronic information security model has the characteristics of nonlinearity and uncertainty. There will be great limitations if we use traditional mathematical theory for processing. Therefore, the paper proposes an electronic circuit information security simulation method utilizing nonlinear differential equations. The method uses a fractional reactance approximation circuit to build a nonlinear differential operator. The model modifies the circuit impedance function in electronic information security to form a transfer function. Then with the help of this function, we build the block diagram of nonlinear differential equation simulation. Experimental research shows that the algorithm proposed in this paper is simple, and the amount of data is small. At the same time, the experiment also verifies the correctness and effectiveness of the processing method.

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“…s corresponds to the second-order differential operation in the time domain. The  order operator s  can be realized by the  order fractional anti-approximation circuit [5].…”

Section: Mathematical Principle Of Circuit Simulation Solution Methodsmentioning

confidence: 99%

Electronic Information Security Model of Nonlinear Differential Equations

Feng

Alhamami

2022

Applied Mathematics and Nonlinear Sciences

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“…[7]), bit-level permutation techniques (e.g., [8]), and deoxyribonucleic acid (DNA) rule-based schemes (e.g., [9]- [13]). Recent advanced schemes utilized novel theories, such as chaotic maps (e.g., [14]- [18]), and quantum maps and harmonics (e.g., [19], [20]). More specifically, encryption methods based on chaos theory have attracted researcher attentions due to their inherent advantages over conventional non-chaotic counterpart.…”

Section: Introductionmentioning

confidence: 99%

A Robust Chaos-Based Technique for Medical Image Encryption

et al. 2022

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Transmission and storage of medical data using cloud-based Internet-of-health-systems (IoHS) necessitate important prerequisites, such as secrecy, legitimacy, and integrity. This paper recommends a novel hybrid encryption/decryption scheme that can be applied in e-healthcare, or IoHS, for the protection of medical images. The proposed system explores innovative perturbation algorithms that utilize novel chaotic maps. The new maps parameters and chaotic sequences are used to control the permutation and diffusion properties of the scheme. The derived properties control pixel shuffling and operations of substitution. Chaotic behaviors of the proposed system are analyzed using bifurcation diagram, Lyapunov exponents, and NIST and DIEHARD tests. Moreover, evaluation using various test images indicated that the proposed maps have high efficiency and showed high robustness and protection of medical images. Experiments and security review also documented the good ability of the developed cryptosystem to withstand a variety of cyber-attacks. Furthermore, quantitative results using benchmark color and greyscale images prove the high security levels, sensitivity, and low residual intelligibility with high quality recovered data of our technique than several typical and state-of-the-art encryption schemes. This has been documented using statistical and security analysis metrics, such as number of pixels change rate (NPCR, 99.814%), unified average changing intensity (UACI, 33.694%), peak signal-to-noise-ratio (PSNR, 7.723), and entropy (7.9991).

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