This paper discusses the recent progress in understanding the properties of transient
dynamics in complex ecological systems. Predicting long-term trends as well as sudden …

Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

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 …

This text provides an introduction to the exciting new developments in chaos and related
topics in nonlinear dynamics, including the detection and quantification of chaos in …

Control of chaos refers to a process wherein a tiny perturbation is applied to a chaotic
system, in order to realize a desirable (chaotic, periodic, or stationary) behavior. We review …

The chapters of the book are state-of-the-art review articles and should be of interest to
graduate students and researchers; theoretical and experimental physicists, applied …

A liquid free surface in partially filled containers can experience a wide spectrum of motions
such as planar, non-planar, rotational, quasi-periodic, chaotic, and disintegration. Civil …

Technical problems often lead to differential equations with piecewise-smooth right-hand
sides. Problems in mechanical engineering, for instance, violate the requirements of …

The recently reported behavior known as ''on-off intermittency''[N. Platt, EA Spiegel, and C.
Tresser, Phys. Rev. Lett. 70, 279 (1993)] is investigated in a class of one-dimensional maps …

We describe a method that converts the motion on a chaotic attractor to a desired attracting
time periodic motion by making only small time dependent perturbations of a control …