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 …

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 …

It is shown that one can convert a chaotic attractor to any one of a large number of possible
attracting time-periodic motions by making only small time-dependent perturbations of an …

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 …

Over the past two decades scientists, mathematicians, and engineers have come to
understand that a large variety of systems exhibit complicated evolution with time. This …

An exploratory technique is introduced for investigating how much of the irregularity in an
aperiodic time series is due to low dimensional chaotic dynamics, as opposed to stochastic …

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 …

We have developed a topological procedure for analyzing chaotic time series which
identifies the stretching and squeezing mechanisms responsible for chaotic behavior in low …

A recurrence plot is a visualization tool for analyzing experimental data. These plots often
reveal correlations in the data that are not easily detected in the original time series. Existing …

Chronic diseases are a significant healthcare problem. Partial or complete non-
responsiveness to chronic therapies is a significant obstacle to maintaining the long-term …