This paper presents a generalization, attractor control and multi-scroll generation method for fractional-order chaotic systems through rotation transformation
Control and switching synchronization of fractional order chaotic systems using active control technique
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 systemsÂ’ 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
Low-voltage MOS chaotic oscillator based on the nonlinearity of G m
This paper presents a chaotic oscillator based on the nonlinearity of the typical transconductance (Gm)
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
Two-Dimensional Rotation of Chaotic Attractors: Demonstrative Examples and FPGA Realization
2019Aloul F.El-Sedeek A.Elnawawy M.Elwakil A.S.Fahmy H.A.JournalOrabi H.Radwan A.G.Sagahyroon A.Sayed W.S.
In this work, we demonstrate the possibility of performing two-dimensional rotation on a chaotic system
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