A novel 3D chaotic system with line equilibrium: multistability, integral sliding mode control, electronic circuit, FPGA implementation and its image encryption

A Sambas, S Vaidyanathan, X Zhang, I Koyuncu… - IEEE …, 2022 - ieeexplore.ieee.org
This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …

A 3D chaotic system with multi-transient behavior and its application in image encryption

B Liang, C Hu, Z Tian, Q Wang, C Jian - Physica A: Statistical Mechanics …, 2023 - Elsevier
Based on the special structure of the variable-boostable chaotic system VB19, that includes
a smooth secondary flux-controlled memristor, a three-dimensional memristive chaotic …

A memristor-based VB2 chaotic system: Dynamical analysis, circuit implementation, and image encryption

C Hu, Z Tian, Q Wang, X Zhang, B Liang, C Jian, X Wu - Optik, 2022 - Elsevier
A new asymmetric memristor-based chaotic system with only one equilibrium point is
obtained by introducing a smooth quadratic flux control memristor module into the VB2 …

Multi-wing chaotic system based on smooth function and its predefined time synchronization

S Yan, H Zhang, D Jiang - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper, the construction of multi-wing chaotic system and predefined time
synchronization are investigated. First, a new 4D chaotic system is constructed, and the …

[HTML][HTML] An 8D Hyperchaotic System of Fractional-Order Systems Using the Memory Effect of Grünwald–Letnikov Derivatives

M Sarfraz, J Zhou, F Ali - Fractal and Fractional, 2024 - mdpi.com
We utilize Lyapunov exponents to quantitatively assess the hyperchaos and categorize the
limit sets of complex dynamical systems. While there are numerous methods for computing …

[HTML][HTML] A 3D memristor-based chaotic system with transition behaviors of coexisting attractors between equilibrium points

Q Wang, C Hu, Z Tian, X Wu, H Sang, Z Cui - Results in Physics, 2024 - Elsevier
A 3D symmetric memristor-based chaotic system (SMCS) is constructed by introducing a
smooth quadratic flux control memristor model into the jerk chaotic system (JCS). The …

A new three-dimensional memristor chaotic circuit design and its application in image encryption

J Zhang, E Liu, Y Guo - The Journal of Supercomputing, 2024 - Springer
In recent years, memristors have received widespread attention due to their inherent
nonlinear characteristics. To this end, a three-dimensional memristor chaotic system based …

Autonomous snap oscillator with only one steady state: dynamical probing, controls, pseudo-random number generation and difference synchronization

P Alexander, J Metsebo, AC Chamgoué… - Physica …, 2024 - iopscience.iop.org
The theoretical probing, microcontroller implementation, amplitude controls, chaos control,-
pseudo-random number generation (PRNG), and difference synchronization of autonomous …

Design, Dynamical Analysis, and Hardware Implementation of a Novel Memcapacitive Hyperchaotic Logistic Map

S Gao, HHC Iu, U Erkan, C Şimşek… - IEEE Internet of …, 2024 - ieeexplore.ieee.org
Currently, discrete memristors are a focal point in the study of chaotic mappings. Similar to
memristors, memcapacitors—another type of memory circuit component—have not received …

A novel memristive chaotic jerk circuit and its microcontroller-based sliding mode control

A Yesil, A Gokyildirim, Y Babacan… - Journal of Vibration …, 2024 - journals.sagepub.com
Due to the experimental realization of memristor circuit elements, research on memristors
and memristor-based circuits has surged. Because of their nonvolatile and nonlinear …