Image encryption using a novel quintic jerk circuit with adjustable symmetry

Abstract

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.

Biomedical Image Encryption with a Novel Memristive Chua Oscillator Embedded in a Microcontroller

“…A pseudorandom number generator (PRNG), is an algorithm that generates a sequence of numbers with certain properties of chance [36]. For example, numbers are assumed to be sufficiently independent of each other, and it is potentially difficult to spot groups of numbers that follow a certain rule (group behaviors).…”

“…For example, numbers are assumed to be sufficiently independent of each other, and it is potentially difficult to spot groups of numbers that follow a certain rule (group behaviors). Pseudorandom numbers are usually generated from chaotic systems [36], chaotic maps [97], and more others. In addition, note that pseudorandom numbers generated are applied in the encryption of medical information [98].…”

“…Over the years, a number of techniques have been used for cryptosystem development [30][31][32][33]: transform domain [34], evolutionary algorithm [35], deoxyribonucleic acid sequence [36], and others [37,38]. Among the algorithms in the literature, chaos-based ones have experienced considerable growth, as chaos properties such as unpredictability, ergodicity, randomness, and extreme sensitivity to initial conditions and control parameters make them a good candidate for carrying out the confusion and diffusion operations required to build robust cryptosystems [39].…”

Encryption and return method of inspection image of UAV converter station based on chaotic sequence

“…Therefore, there are more converter stations built in China. Under the same power conversion conditions, the cost of UAV converter station is lower, and the line loss is smaller [4][5][6] , which is more suitable for China's power supply and distribution environment. However, in recent years, the internal equipment arrangement of UAV converter station in China has become more and more dense, and the composition complexity has become higher and higher.…”

Hyperchaotic maps of a discrete memristor coupled to trigonometric function

“…Multi-stability refers to multiple sets of solutions in the system with a specific set of parameters [17]. The chaotic system with this unique property has potential application prospects [18][19][20][21]. Chaotic systems based on memristors can easily show the coexistence of many attractors, that is, multiple stability related to initial conditions [22].…”