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Synchronization, Control and Data Assimilation of the Lorenz System
Version 1
: Received: 6 April 2023 / Approved: 7 April 2023 / Online: 7 April 2023 (13:02:59 CEST)
A peer-reviewed article of this Preprint also exists.
Bagnoli, F.; Baia, M. Synchronization, Control and Data Assimilation of the Lorenz System. Algorithms 2023, 16, 213. Bagnoli, F.; Baia, M. Synchronization, Control and Data Assimilation of the Lorenz System. Algorithms 2023, 16, 213.
Abstract
We explore several aspects of replica synchronization with the goas of retrieving the value of parameters for the Lorenz system. The idea is that of having a computer replica (slave) of a natural system (master, simulated in this paper), and exploit the fact that slave synchronizes with the master only if they evolve with the same parameters. As a byproduct, in the synchronized phase the state variables of the slave and that of the master are the same, thus allowing to perform measurements impossible on the real system. We review some aspects of master-slave synchronization using a subset of variables, with intermittent coupling. We show how synchronization can be achieved when some of the state variables are available for direct measurement using a simulated annealing approach, and also when they are accessible only through a scalar function, using a pruned-enriching ensemble approach, similar to genetic algorithms without cross-over.
Keywords
Master-slave synchronization; data assimilation; parameter estimation; Lorenz system
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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