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

The parameters of a given (chaotic) dynamical model are estimated from scalar time series
by adapting a computer model until it synchronizes with the given data. This parameter …

We present TSR-VFD, a novel deep learning solution that recovers temporal super-
resolution (TSR) of three-dimensional vector field data (VFD) for unsteady flow. In scientific …

In practical problems of phase-space reconstruction, it is usually the case that the
reconstruction is much easier using a particular recorded scalar variable. This seems to …

An epidemic of Ebola Virus Disease (EVD) broke out in Guinea in December 2013. It was
only identified in March 2014 while it had already spread out in Liberia and Sierra Leone …

We examine the dynamics of three-dimensional cells with square planform in dissipative
Rayleigh-Bénard convection. By applying a triple Fourier series ansatz up to second order …

Controlling chaos is fundamental in many applications, and for this reason, many techniques
have been proposed to address this problem. Here, we propose a strategy based on an …

Sunspot cycles are widely used for investigating solar activity. In 1953 Bracewell argued that
it is sometimes desirable to introduce the inversion of the magnetic field polarity, and that …

This text aims at providing a bird's eye view of system identification with special attention to
nonlinear systems. The driving force is to give a feeling for the philosophical problems facing …

This paper introduces a novel method called extended phase space topology (EPST) for
machinery diagnostics and pattern recognition. In particular, the research focuses on fault …