A review of the digital implementation of continuous-time fractional-order chaotic systems using FPGAs and embedded hardware
D Clemente-López, JM Munoz-Pacheco… - … Methods in Engineering, 2023 - Springer
The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
phenomena with a better approximation than classical calculus. In fractional-order chaotic …
Stability of fractional order systems
M Rivero, SV Rogosin… - Mathematical …, 2013 - Wiley Online Library
The theory and applications of fractional calculus (FC) had a considerable progress during
the last years. Dynamical systems and control are one of the most active areas, and several …
the last years. Dynamical systems and control are one of the most active areas, and several …
[图书][B] Fractional-order nonlinear systems: modeling, analysis and simulation
I Petráš - 2011 - books.google.com
" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
[图书][B] Fractional order systems: modeling and control applications
This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …
(FOS). It is well known that FOS can be utilized in control applications and systems …
Chaotic attractors in incommensurate fractional order systems
MS Tavazoei, M Haeri - Physica D: Nonlinear Phenomena, 2008 - Elsevier
In this paper, based on the stability theorems in fractional differential equations, a necessary
condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors …
condition is given to check the existence of 1-scroll, 2-scroll or multi-scroll chaotic attractors …
Complexity analysis and DSP implementation of the fractional-order Lorenz hyperchaotic system
S He, K Sun, H Wang - Entropy, 2015 - mdpi.com
The fractional-order hyperchaotic Lorenz system is solved as a discrete map by applying the
Adomian decomposition method (ADM). Lyapunov Characteristic Exponents (LCEs) of this …
Adomian decomposition method (ADM). Lyapunov Characteristic Exponents (LCEs) of this …
Stability of fractional-order systems
I Petráš, I Petráš - … -Order Nonlinear Systems: Modeling, Analysis and …, 2011 - Springer
Stability as an extremely important property of dynamical systems can be investigated in
various domains (Bellman, 1953; Dorf and Bishop, 1990). The usual concept of the bounded …
various domains (Bellman, 1953; Dorf and Bishop, 1990). The usual concept of the bounded …
Fractional-order memristor-based Chua's circuit
I Petras - IEEE Transactions on Circuits and Systems II: Express …, 2010 - ieeexplore.ieee.org
This express brief deals with the memristor-based Chua's circuit. For the first time, the
fractional-order model for such system is presented. A numerical solution of the fractional …
fractional-order model for such system is presented. A numerical solution of the fractional …
Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
XY Wang, JM Song - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
Based on the stability theory of fractional order systems, this paper analyses the
synchronization conditions of the fractional order chaotic systems with activation feedback …
synchronization conditions of the fractional order chaotic systems with activation feedback …
[图书][B] Intelligent fractional order systems and control: an introduction
Fractional order calculus is finding increasing interest in the control system community.
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …
Hardware realizations of fractional order controllers have sparked off a renewed zeal into …