This paper derives the asymptotic distribution of the nonparametric neural network estimator
of the Lyapunov exponent in a noisy system. Positivity of the Lyapunov exponent is an …

Most of the existing methods and techniques for the detection of chaotic behaviour from
empirical time series try to quantify the well-known sensitivity to initial conditions through the …

We present a detailed study on the characterization of the degeneration process in
combustion instability based on dynamical systems theory. We deal with combustion …

Strong evidence is provided for significant far from equilibrium complex processes in the
seismogenic layer of the North Aegean region (Greece), after applying modern nonlinear …

Chaos theory offers to time series analysis new perspectives as well as concepts and ideas
that have a through contribution to statistics. On the other hand, statistical methodology has …

In this chapter, we review the problem of testing for nonlinearity in time series. First, we
discuss the definition and the properties of linear processes and the implications that such …

This compendium gives a comprehensive overview of the advances in fibrillation-
defibrillation knowledge—recognition of fibrillation as a unique life threatening cardiac …

We carry out a nonlinear time series analysis motivated by dynamical systems theory to
investigate the links between temperatures on the eastern South Pacific coast, influenced by …

Central and East European (CEE) countries are in an economic transition process that
involves convergence of their economic performance with the European Union. One of the …

Prompt γ-ray emissions from gamma-ray bursts (GRBs) exhibit a vast range of extremely
complex temporal structures with a typical variability time-scale significantly short–as fast as …