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

Parlitz, Ulrich; Schumann-Bischoff, Jan; Luther, Stefan

doi:10.1063/1.4884344

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

Parlitz, U., Schumann-Bischoff, J., & Luther, S. (2014). Local observability of state variables and parameters in nonlinear modeling quantified by delay reconstruction. Chaos, 24, 024411-01-024411-11. doi:10.1063/1.4884344.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-0F35-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-0F36-9

Genre: Journal Article

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Parlitz, Ulrich¹, Author
Schumann-Bischoff, Jan¹, Author
Luther, Stefan¹, Author

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1Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063288

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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 Henon map and a Rossler system.

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Language(s): eng - English

Dates: Date issued: 2014-06

Publication Status: Issued

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Rev. Type: Peer

Identifiers: eDoc: 708929
DOI: 10.1063/1.4884344

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Title: Chaos

Source Genre: Journal

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Pages: - Volume / Issue: 24 Sequence Number: - Start / End Page: 024411-01 - 024411-11 Identifier: ISSN: 1054-1500