Parameter identification of dynamical systems from time series

Wenwu Yu, Guanrong Chen, Jinde Cao, Jinhu Lü, Ulrich Parlitz

Research output: Journal Publications and ReviewsRGC 22 - Publication in policy or professional journal

117 Citations (Scopus)
59 Downloads (CityUHK Scholars)

Abstract

In this paper, synchronization based parameter identification of dynamical systems from time series is carefully revisited. It is shown, based on rigorous theoretical analysis and concrete counterexamples, that some recent research reports on this issue are incomplete or even incorrect. A linear independence condition is pointed out, which is sufficient for such parameter identification of general dynamical systems. © 2007 The American Physical Society.
Original languageEnglish
Article number67201
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume75
Issue number6
DOIs
Publication statusPublished - 6 Jun 2007

Publisher's Copyright Statement

  • COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: Yu, W., Chen, G., Cao, J., Lü, J., & Parlitz, U. (2007). Parameter identification of dynamical systems from time series. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75(6), [67201]. https://doi.org/10.1103/PhysRevE.75.067201. The copyright of this article is owned by American Physical Society.

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