Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems | Zendy

Yoshito Hirata | Zendy; Yuzuru Sato | Zendy; Davide Faranda | Zendy

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Permutations uniquely identify states and unknown external forces in non-autonomous dynamical systems

Author(s) -

Yoshito Hirata,

Yuzuru Sato,

Davide Faranda

Publication year - 2020

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/5.0009450

Subject(s) - realization (probability) , series (stratigraphy) , permutation (music) , set (abstract data type) , dynamical systems theory , computer science , dynamical system (definition) , mathematics , statistical physics , physics , statistics , paleontology , quantum mechanics , acoustics , biology , programming language

It has been shown that a permutation can uniquely identify the joint set of an initial condition and a non-autonomous external force realization added to the deterministic system in given time series data. We demonstrate that our results can be applied to time series forecasting as well as the estimation of common external forces. Thus, permutations provide a convenient description for a time series data set generated by non-autonomous dynamical systems.

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