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- W2496456637 abstract "The aim of this lecture is to present the main methodologies employed for quantifying the dynamics of complex signals showing sudden changes, hence not predictable, of their pseudo-deterministic time series.The techniques which we are going to explain are commonly defined as non-linear.We illustrate the case of a signal that suddenly present a set of spike (or only one). To better illustrate the problem we will refer to a specific space-time. As showed in the following we will show how we can investigate on complex signals with a detail that, until now, the usual techniques are not capable of achieving. Therefore, the dynamical pattern will be analyzed by means of a particular space-time system: the state or phase space.As the theory of nonlinear dynamics clearly shows, the space of the state is the natural domain for quantifying the properties of non-linear dynamics. These properties would never be detected in a normal time domain or by the sequential reading of the time series representing the dynamical phenomenon observed.An important consideration is that the basic measurements proposed are not based on special non-linear models, nor they depend in some way, directly or indirectly, from a priori detailed knowledge of the mechanisms that underlie and are responsible for the generation of data to be analyzed. These techniques belong to those families so called non-parametric." @default.
- W2496456637 created "2016-08-23" @default.
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- W2496456637 date "2009-10-17" @default.
- W2496456637 modified "2023-09-23" @default.
- W2496456637 title "Plenary lecture 5: on the detection and quantification of dynamical temporal changes on complex signals" @default.
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