Product integration (PI) rules are well known numerical techniques that are used to solve differential equations of integer and, recently, fractional orders
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
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
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
Software and Hardware Implementation Sensitivity of Chaotic Systems and Impact on Encryption Applications
This paper discusses the implementation sensitivity of chaotic systems added to their widely discussed sensitivities to initial conditions and parameter variation
Fractional X-shape controllable multi-scroll attractor with parameter effect and FPGA automatic design tool software
This paper proposes a new fractional-order multi-scrolls chaotic system
FPGA implementation of two fractional order chaotic systems
This paper discusses the FPGA implementation of the fractional-order derivative as well as two fractional-order chaotic systems where one of them has controllable multi-scroll attractors
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
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
On the Analysis and Design of Fractional-Order Chebyshev Complex Filter
This paper introduces the concept of fractional-order complex Chebyshev filter