Emulate the chaotic flows of fractional jerk system to scramble the sound and image memo with circuit execution

Abstract

The purpose of this paper is to investigate the chaotic influence of the fractional order jerk system with the theoretical execution of circuit and practical consequent on cryptography. The Caputo fractional derivative (CFD) has been used for the commensurate order and obtains the necessary condition to appear chaos using Lyapunov exponent (LE). The existence, uniqueness of the system is analyzed, and the stabilities of the equilibrium points are explored. The output of the electronic circuit equations has been inspected graphically and the values of passive components resistor, capacitor and voltage are tabulated. The scrambling protocol is designed in multiple paradigmatic language Python for various aspects of information security such as sound and image for confidentiality. The analog and numerical simulations carry out in Multisim and Mathematica respectively, to see the effects of physical parameters on phase portraits which are incorporated through graphs and tables. The significance level of occur fluctuation is also measured by a statistical package the NIST test suite to ensure the stream of generating numbers for a particular cryptographic application. Furthermore, originality of the system also tested with the help of error measuring tool named mean absolute error (MAE) and found that the performance index of the designed system is in good agreement.

Probing 3D chaotic Thomas’ cyclically attractor with multimedia encryption and electronic circuitry

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“…With fast-evolving applications in the fields of multimedia, digital networks, cyber security, and information sciences, irregular-deterministic behavior has gained considerable attention. Deterministicnonlinear dynamical systems, widely known as chaos, have now been considered as an interdisciplinary subject with applications in the fields of physics [1,2], biology [3], economics [4], medicine [5], communication [6], cryptography [7], electronics [8,9] etc. The evolution of chaos after Lorenz [10], a two-scroll chaotic attractor led to the development of one scroll attractor [11], three scroll attractor [12], six scroll attractor [13], and multi-scroll attractor [14].…”

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Memristor-based time-delay hyperchaotic system with circuit simulation and image encryption

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