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Chaos. 2014 Jun;24(2):024411. doi: 10.1063/1.4884344.

Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction.

Author information

1
Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany.

Abstract

Features of the Jacobian matrix of the delay coordinates map are exploited for quantifying the robustness and reliability of state and parameter estimations for a given dynamical model using a measured time series. Relevant concepts of this approach are introduced and illustrated for discrete and continuous time systems employing a filtered Hénon map and a Rössler system.

PMID:
24985465
DOI:
10.1063/1.4884344

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