This paper discusses the continuous effect of the fractional order parameter of the Lü system where the system response starts stable, passing by chaotic behavior then reaching periodic response as the fractional-order increases
Stability and non-standard finite difference method of the generalized Chua’s circuit
In this paper, we develop a framework to obtain approximate numerical solutions of the fractional-order Chua’s circuit with Memristor using a non-standard finite difference method
Fractional chaos maps with flower pollination algorithm for chaotic systems parameters identification
Meta-heuristic optimization algorithms are the new gate in solving most of the complicated nonlinear systems
Numerical Simulations and FPGA Implementations of Fractional-Order Systems Based on Product Integration Rules
Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders
The fractional-order modeling and synchronization of electrically coupled neuron systems
In this paper, we generalize the integer-order cable model of the neuron system into the fractional-order domain, where the long memory dependence of the fractional derivative can be a better fit for the neuron response
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
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
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
Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples
Four practical sinusoidal oscillators are studied in the general form where fractional-order energy storage elements are considered