title: Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction.
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.
authors.affiliation: Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany.
authors.forename: Ulrich
authors.initials: U
authors.lastname: Parlitz
authors.affiliation: Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany.
authors.forename: Jan
authors.initials: J
authors.lastname: Schumann-Bischoff
authors.affiliation: Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany.
authors.forename: Stefan
authors.initials: S
authors.lastname: Luther