Fractional order chaotic systems: history, achievements, applications, and future challenges
MS Tavazoei - The European Physical Journal Special Topics, 2020 - Springer
Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …
fractional order differential equations, this review paper focuses on dynamical fractional …
A robust computational algorithm of homotopy asymptotic method for solving systems of fractional differential equations
In this paper, we present new ideas for the implementation of homotopy asymptotic method
(HAM) to solve systems of nonlinear fractional differential equations (FDEs). An effective …
(HAM) to solve systems of nonlinear fractional differential equations (FDEs). An effective …
On the dynamics, control and synchronization of fractional-order Ikeda map
This paper is concerned with a fractional Caputo-difference form of Ikeda map. The
dynamics of the proposed map is investigated numerically through phase plots and …
dynamics of the proposed map is investigated numerically through phase plots and …
Nonlinear dynamics and chaos in fractional differential equations with a new generalized Caputo fractional derivative
In this paper, novel systems of fractional differential equations involving a new generalized
Caputo fractional derivative were proposed. The complex dynamic behavior of these …
Caputo fractional derivative were proposed. The complex dynamic behavior of these …
A new fractional-order chaotic system with different families of hidden and self-excited attractors
In this work, a new fractional-order chaotic system with a single parameter and four
nonlinearities is introduced. One striking feature is that by varying the system parameter, the …
nonlinearities is introduced. One striking feature is that by varying the system parameter, the …
Mode selection and stability of attractors in Chua circuit driven by piezoelectric sources
The piezoelectric ceramic can be activated to produce continuous voltage and it is often
used to excite nonlinear circuits, which is tamed as functional circuit to detect the acoustic …
used to excite nonlinear circuits, which is tamed as functional circuit to detect the acoustic …
Firing activities of a fractional-order FitzHugh-Rinzel bursting neuron model and its coupled dynamics
Fractional-order dynamics of excitable systems can be physically described as a memory
dependent phenomenon. It can produce diverse and fascinating oscillatory patterns for …
dependent phenomenon. It can produce diverse and fascinating oscillatory patterns for …
High speed FPGA-based chaotic oscillator design
In this study, autonomous Lü-Chen (2002) chaotic system has been implemented on FPGA
using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for …
using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for …
Chaotic characteristic analysis of network traffic time series at different time scales
Z Tian - Chaos, Solitons & Fractals, 2020 - Elsevier
Characteristic analysis of network traffic time series is very meaningful for network traffic
prediction. The dynamic behavior of network traffic time series is an external manifestation …
prediction. The dynamic behavior of network traffic time series is an external manifestation …
FPGA-based implementation of different families of fractional-order chaotic oscillators applying Grünwald–Letnikov method
AD Pano-Azucena, B Ovilla-Martinez… - … in Nonlinear Science …, 2019 - Elsevier
Fractional-order chaotic oscillators are a hot topic of research and nowadays many new
mathematical models have been introduced, which can be suitable for the development of …
mathematical models have been introduced, which can be suitable for the development of …