This paper reviews the major developments of modeling techniques applied to nonlinear
dynamics and chaos. Model representations, parameter estimation techniques, data …

Observability is a property of a dynamical system that defines whether or not it is possible to
reconstruct the trajectory temporal evolution of the internal states of a system from a given …

Observability and controllability are essential concepts to the design of predictive observer
models and feedback controllers of networked systems. For example, noncontrollable …

This concise and up-to-date textbook provides an accessible introduction to the core
concepts of nonlinear dynamics as well as its existing and potential applications. The book …

There is presented a reliable technique for measuring con dition change in nonlinear data
such as brain Waves. The nonlinear data is? ltered and discretiZed into Windowed data …

The development of new approaches to detect motor-related brain activity is key in many
aspects of science, especially in brain–computer interface applications. Even though some …

In the analysis of a scalar time series, which lies on an m-dimensional object, a great
number of techniques will start by embedding such a time series in ad-dimensional space …

If data are generated by a system with ad‐dimensional attractor, then Takens' theorem
guarantees that reconstruction that is diffeomorphic to the original attractor can be built from …

A great number of techniques developed for studying nonlinear dynamical systems start with
the embedding of a scalar time series, lying on an m-dimensional object, in an embedding …

Classical definitions of observability classify a system as either being observable or not.
Observability has been recognized as an important feature to study complex networks, and …