Modern generative machine learning models are able to create realistic outputs far beyond
their training data, such as photorealistic artwork, accurate protein structures or …

This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Synchronization of chaotic systems is frequently taken to mean actual equality of the
variables of the coupled systems as they evolve in time. We explore a generalization of this …

We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …

We introduce general principles for achieving maximal violation of detailed balance in
thermal radiation. We validate these principles by direct numerical calculations, based on …

Topological methods have recently been developed for the analysis of dissipative dynamical
systems that operate in the chaotic regime. They were originally developed for three …

Parameters of a given model describing a (chaotic) dynamical system are estimated from
scalar time series using autosynchronization where the parameter adaption process is …

In this paper a new speech encryption method using Fast Fourier Transform (FFT) and
multiple chaotic maps has been developed for secured speech communication. In order to …

An experimental observation of phase synchronization is presented for two unidirectionally
coupled chaotic Rössler systems. We show that in this case phase synchronization is …