Topological characterization versus synchronization for assessing (or not) dynamical equivalence

Model validation from experimental data is an important and not trivial topic which is too often reduced to a simple visual inspection of the state portrait spanned by the variables of the system. Synchronization was suggested as a possible technique for model validation. By means of a topological a...

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2018-04, Vol.28 (4), p.045107-045107
Hauptverfasser: Letellier, Christophe, Mangiarotti, Sylvain, Sendiña-Nadal, Irene, Rössler, Otto E.
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container_issue 4
container_start_page 045107
container_title Chaos (Woodbury, N.Y.)
container_volume 28
creator Letellier, Christophe
Mangiarotti, Sylvain
Sendiña-Nadal, Irene
Rössler, Otto E.
description Model validation from experimental data is an important and not trivial topic which is too often reduced to a simple visual inspection of the state portrait spanned by the variables of the system. Synchronization was suggested as a possible technique for model validation. By means of a topological analysis, we revisited this concept with the help of an abstract chemical reaction system and data from two electrodissolution experiments conducted by Jack Hudson's group. The fact that it was possible to synchronize topologically different global models led us to conclude that synchronization is not a recommendable technique for model validation. A short historical preamble evokes Jack Hudson's early career in interaction with Otto E. Rössler.
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title Topological characterization versus synchronization for assessing (or not) dynamical equivalence
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