Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders
Enhanced FPGA realization of the fractional-order derivative and application to a variable-order chaotic system
The efficiency of the hardware implementations of fractional-order systems heavily relies on the efficiency of realizing the fractional-order derivative operator
A general emulator for fractional-order memristive elements with multiple pinched points and application
In this paper, X-controlled universal fractional-order memelements (FOMEs) emulator is proposed
Multiplierless chaotic Pseudo random number generators
This paper presents a multiplierless based FPGA implementation for six different chaotic Pseudo Random Number Generators (PRNGs) that are based on: Chua, modified Lorenz, modified Rössler, Frequency Dependent Negative Resistor (FDNR) oscillator, and other two systems that are modelled using the simple jerk equation
Generalized switched synchronization and dependent image encryption using dynamically rotating fractional-order chaotic systems
This paper presents a generalization, attractor control and multi-scroll generation method for fractional-order chaotic systems through rotation transformation
Enhanced hardware implementation of a mixed-order nonlinear chaotic system and speech encryption application
This paper introduces a study for the effect of using different floating-point representations on the chaotic system’s behaviour
Design and Implementation of an Optimized Artificial Human Eardrum Model
This paper introduces a fractional-order eardrum Type-II model, which is derived using fractional calculus to reduce the number of elements compared to its integer-order counterpart
FPGA implementation of a chaotic oscillator with odd/even symmetry and its application
We propose a mathematical system capable of exhibiting chaos with a chaotic attractor which is odd symmetrical in the x ? y phase plane but even symmetrical in the x ? z and y ? z phase planes respectively
Nonlinear charge-voltage relationship in constant phase element
The constant phase element (CPE) or fractional-order capacitor is an electrical device that has an impedance of the form Z(s)=1/C?s?, where C? is the CPE parameter and ? is a fractional dispersion coefficient of values between 0 and 1
Optimized Edge Detection Technique for Brain Tumor Detection in MR Images
Genetic algorithms (GAs) are intended to look for the optimum solution by eliminating the gene strings with the worst fitness