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 …

In addition to the striking beauty inherent in their complex nature, fractals have become a
fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in …

The modern world fully relies on wireless communication. Because of intrinsic physical
constraints of the wireless physical media (multipath, damping, and filtering), signals …

Measurable dynamics has traditionally referred to ergodic theory, which is in some sense a
sister topic to dynamical systems and chaos theory. However, the topic has until recently …

A novel chaotic oscillator is shown to admit an exact analytic solution and a simple matched
filter. The oscillator is a hybrid dynamical system including both a differential equation and a …

A symbolic analysis of observed time series requires a discrete partition of a continuous
state space containing the dynamics. A particular kind of partition, called “generating,” …

In most data recording systems and many data communication systems, some sequences
are more prone to error than others. Thus, in order to reduce the likelihood of error, it makes …

In this paper, we propose a pseudo-chaotic modulation suitable for ultrawide-bandwidth
impulse-radio communication systems. The coding scheme is based upon controlling the …

We report our finding and analysis of a type of synchronism that occurs in chaotic systems
with symmetry. Specifically, we find that the amplitudes of the dynamical variables of such a …