In the last decade, there has been a growing body of literature addressing the utilization of
complex network methods for the characterization of dynamical systems based on time …

Stochastic resonance (SR) provides a glaring example of a noise-induced transition in a
nonlinear system driven by an information signal and noise simultaneously. In the regime of …

One of the most unexpected results in science in recent years is that quite ordinary systems
obeying simple laws can give rise to complex, nonlinear or chaotic, behavior. In this book …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

We discuss algorithms for estimating the Shannon entropy h of finite symbol sequences with
long range correlations. In particular, we consider algorithms which estimate h from the code …

We introduce a model for the emergence of innovations, in which cognitive processes are
described as random walks on the network of links among ideas or concepts, and an …

The science of complexity aims to answer the question of what rules nature chooses when
assembling the basic constituents of matter and energy into structures and dynamical …

A number of different measures of complexity have been described, discussed, and applied
to the logistic map. A classification of these measures has been proposed, distinguishing …

Learning from successful applications of methods originating in statistical mechanics,
complex systems science, or information theory in one scientific field (eg, atmospheric …

Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet
research within this broad field is becoming increasingly mathematical. Written in a step-by …