This paper reviews the major developments of modeling techniques applied to nonlinear
dynamics and chaos. Model representations, parameter estimation techniques, data …

Robust chaos is defined by the absence of periodic windows and coexisting attractors in
some neighborhoods in the parameter space of a dynamical system. This unique book …

ABSTRACT A lower bound error for free-run simulation of the polynomial NARMAX
(Nonlinear AutoRegressive Moving Average model with eXogenous input) is introduced …

It has been shown that natural interval extensions (NIE) can be used to calculate the largest
positive Lyapunov exponent (LLE). However, the elaboration of NIE are not always possible …

The present study proposes a simple grey-box identification approach to model a real DC-
DC buck converter operating in continuous conduction mode. The problem associated with …

Irregularly shaped spatial disease clusters occur commonly in epidemiological studies, but
their geographic delineation is poorly defined. Most current spatial scan software usually …

This book is a comprehensive collection of known results about the Lozi map, a piecewise-
affine version of the Henon map. Henon map is one of the most studied examples in …

This paper reviews some aspects of nonlinear model building from data with (gray box) and
without (black box) prior knowledge. The model class is very important because it …

This paper defines a class of system information—affine information—that includes both the
dynamic residuals and some types of auxiliary information that can be used in system …

Takagi–Sugeno fuzzy models have proved to be a powerful tool for the identification of
nonlinear dynamic systems. Their generic nonlinear model representation is particularly …