Paweł Dłotko - Publications - Bridge of Knowledge

Paweł Dłotko

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conjugacy, semiconjugacy, embedding, nonlinear time-series analysis, false nearest neighbors, similarity measures, k-nearest neighbors

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Year 2024

Testing Topological Conjugacy of Time Series
Publication
- J. Signerska-Rynkowska
- P. Dłotko
- M. Lipiński
- SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS - Year 2024
This paper considers a problem of testing, from a finite sample, a topological conjugacy of two trajectories coming from dynamical systems (X, f ) and (Y, g). More precisely, given x1, . . . , xn \subset X and y1, . . . , yn \subset Y such that xi+1 = f (xi) and yi+1 = g(yi) as well as h : X \rightarrow Y, we deliver a number of tests to check if f and g are topologically conjugated via h. The values of the tests are close to...

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