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 extreme sensitivity of chaotic systems to tiny perturbations (the 'butterfly effect') can be
used both to stabilize regular dynamic behaviours and to direct chaotic trajectories rapidly to …

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 …

When I encountered the idea of chaotic behavior in deterministic dynami cal systems, it gave
me both great pause and great relief. The origin of the great relief was work I had done …

Chemical reactions with nonlinear kinetic behavior can give rise to a remarkable set of
spatiotemporal phenomena. These include periodic and chaotic changes in concentration …

At publication, The Control Handbook immediately became the definitive resource that
engineers working with modern control systems required. Among its many accolades, that …

Takens Embedding Theorem forms the basis of virtually all approaches to the analysis of
time series generated by nonlinear deterministic dynamical systems. It typically allows us to …

A dynamic control technique was used to suppress a cardiac arrhythmia called an alternans
rhythm in a piece of dissected rabbit heart. Our control algorithm adapted to drifting system …

We consider the synchronization of diffusive coupled systems in situations where the
synchronization is a consequence of the dissipation in the coupling as well as ones where …

In this book, the reader will find a theoretical introduction to noninteger order systems, as
well as several applications showing their features and peculiarities. The main definitions …