Modeling nonlinear dynamics and chaos: a review

LA Aguirre, C Letellier - Mathematical Problems in Engineering, 2009 - Wiley Online Library
This paper reviews the major developments of modeling techniques applied to nonlinear
dynamics and chaos. Model representations, parameter estimation techniques, data …

[图书][B] Cluster analysis for data mining and system identification

J Abonyi, B Feil - 2007 - books.google.com
Dataclusteringisacommontechniqueforstatis…, whichisusedin many? elds, including
machine learning, data mining, pattern recognition, image analysis and bioinformatics …

Evaluation and prediction of COVID-19 in India: A case study of worst hit states

D Rafiq, SA Suhail, MA Bazaz - Chaos, Solitons & Fractals, 2020 - Elsevier
In this manuscript, system modeling and identification techniques are applied in developing
a prognostic yet deterministic model to forecast the spread of COVID-19 in India. The model …

An identification algorithm for polynomial NARX models based on simulation error minimization

L Piroddi, W Spinelli - International Journal of Control, 2003 - Taylor & Francis
Classical prediction error approaches for the identification of non-linear polynomial
NARX/NARMAX models often yield unsatisfactory results for long-range prediction or …

Genetic programming for the identification of nonlinear input− output models

J Madár, J Abonyi, F Szeifert - Industrial & engineering chemistry …, 2005 - ACS Publications
Linear-in-parameters models are quite widespread in process engineering, eg, nonlinear
additive autoregressive models, polynomial ARMA models, etc. This paper proposes a new …

Model structure selection using an integrated forward orthogonal search algorithm assisted by squared correlation and mutual information

HL Wei, SA Billings - International Journal of Modelling …, 2008 - inderscienceonline.com
Model structure selection plays a key role in non-linear system identification. The first step in
non-linear system identification is to determine which model terms should be included in the …

[PDF][PDF] Identificação de Sistemas não Lineares Utilizando Modelos NARMAX Polinomiais–Uma Revisão e Novos Resultados

LA Aguirre, GG Rodrigues… - SBA Controle e …, 1998 - researchgate.net
Este artigo tem dois objetivos principais. Em primeiro lugar, ele aborda a identificação de
sistemas nãolineares de forma introdutória, provendo literatura específica para um estudo …

An alternative solution to the model structure selection problem

E Mendez, SA Billings - … on Systems, Man, and Cybernetics-Part …, 2001 - ieeexplore.ieee.org
An alternative solution to the model structure selection problem is introduced by conducting
a forward search through the many possible candidate model terms initially and then …

Effects of the sampling time on the dynamics and identification of nonlinear models

SA Billings, LA Aguirre - International journal of Bifurcation and …, 1995 - World Scientific
This paper investigates how the choice of the sampling time affects the identification of
nonlinear models. It is shown how the choice of the sampling interval can affect structure …

Retrieving dynamical invariants from chaotic data using NARMAX models

LA Aguirre, SA Billings - International Journal of Bifurcation and …, 1995 - World Scientific
This paper is concerned with the estimation of dynamical invariants from relatively short and
possibly noisy sets of chaotic data. In order to overcome the difficulties associated with the …