Closed-loop turbulence control is a critical enabler of aerodynamic drag reduction, lift
increase, mixing enhancement, and noise reduction. Current and future applications have …

Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

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 …

Novel methods for information processing are highly desired in our information-driven
society. Inspired by the brain's ability to process information, the recently introduced …

We discuss models and data of crowd disasters, crime, terrorism, war and disease
spreading to show that conventional recipes, such as deterrence strategies, are often not …

The paradigm of deterministic chaos has influenced thinking in many fields of science.
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …

A new edition of this well-established monograph, this volume provides a comprehensive
overview over the still fascinating field of chaos research. The authors include recent …

We review chimera patterns, which consist of coexisting spatial domains of coherent
(synchronized) and incoherent (desynchronized) dynamics in networks of identical …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

Big data have become a critically enabling component of emerging mathematical methods
aimed at the automated discovery of dynamical systems, where first principles modeling may …