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RECONSTRUCTIONS OF ONE-SIDED DYNAMICAL SYSTEMS FROM THE ANALYSIS OF EXPERIMENTAL TIME SERIES (Recent Progress in General Topology and its Related Fields)

open access: yesRECONSTRUCTIONS OF ONE-SIDED DYNAMICAL SYSTEMS FROM THE ANALYSIS OF EXPERIMENTAL TIME SERIES (Recent Progress in General Topology and its Related Fields)
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Complexity of time series associated to dynamical systems inferred from independent component analysis

Physical Review E, 2005
A not trivial problem for every experimental time series associated to a natural system is to individuate the significant variables to describe the dynamics, i.e., the effective degrees of freedom. The application of independent component analysis (ICA) has provided interesting results in this direction, e.g., in the seismological and atmospheric field.
CIARAMELLA A.   +4 more
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Wasserstein distances in the analysis of time series and dynamical systems

Physica D: Nonlinear Phenomena, 2011
The concept of transportation distance between attractors in dynamical systems allows one to express how closely the long-term behaviour of two given systems resemble each other. This is a particular example of a Wasserstein distance between probability measures.
Muskulus, Michael, Verduyn Lunel, Sjoerd
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