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 …

[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 …

Solving fractional integral equations by the Haar wavelet method

Ü Lepik - Applied Mathematics and Computation, 2009 - Elsevier
Haar wavelets for the solution of fractional integral equations are applied. Fractional Volterra
and Fredholm integral equations are considered. The proposed method also is used for …

Chaos control and synchronization in a fractional neuron network system

S Zhou, H Li, Z Zhu - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, an algorithm of numerical solution for fractional differential equations is
presented. Chaos in a neuron network system is also illustrated. Moreover, chaos feedback …

PIλDμ controller design for integer and fractional plants using piecewise orthogonal functions

MK Bouafoura, NB Braiek - … in Nonlinear Science and Numerical Simulation, 2010 - Elsevier
This paper deals with the design of fractional PID controller for integer and fractional plants.
A new analytic method is proposed, the developments are based on the expansion of the …

Parameter identification of commensurate fractional-order chaotic system via differential evolution

Y Tang, X Zhang, C Hua, L Li, Y Yang - Physics Letters A, 2012 - Elsevier
Chaos can be observed in fractional-order nonlinear systems with appropriate orders. The
knowledge about the parameters and orders are the basis of the control and synchronization …

Multi-step ahead nonlinear identification of Lorenz's chaotic system using radial basis neural network with learning by clustering and particle swarm optimization

FA Guerra, LS Coelho - Chaos, Solitons & Fractals, 2008 - Elsevier
An important problem in engineering is the identification of nonlinear systems, among them
radial basis function neural networks (RBF-NN) using Gaussian activation functions models …

[PDF][PDF] An operational Haar wavelet method for solving fractional Volterra integral equations

H Saeedi, N Mollahasani, M Mohseni Moghadam… - 2011 - intapi.sciendo.com
A Haar wavelet operational matrix is applied to fractional integration, which has not been
undertaken before. The Haar wavelet approximating method is used to reduce the fractional …

Whale optimization and sine–cosine optimization algorithms with cellular topology for parameter identification of chaotic systems and Schottky barrier diode models

MS Turgut, HM Sağban, OE Turgut, ÖT Özmen - Soft Computing, 2021 - Springer
This research study aims to enhance the optimization accuracy of the two recently emerged
metaheuristics of whale and sine–cosine optimizers by means of the balanced …

Parameter identification of chaotic systems using evolutionary programming approach

JF Chang, YS Yang, TL Liao, JJ Yan - Expert Systems with Applications, 2008 - Elsevier
This paper is concerned with the parameter identification problem for chaotic systems. An
evolutionary programming (EP) approach is newly introduced to solve this problem. The …