Parameter identification of dynamical systems from time series

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

doi:10.1103/PhysRevE.75.067201

Parameter identification of dynamical systems from time series

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

^*Corresponding author for this work

Southeast University, Nanjing
City University of Hong Kong
CAS - Academy of Mathematics and System Sciences
Princeton University
University of Göttingen

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

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.

Original language	English
Article number	067201
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	75
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.75.067201
State	Published - 6 Jun 2007
Externally published	Yes

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10.1103/PhysRevE.75.067201

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title = "Parameter identification of dynamical systems from time series",

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.",

author = "Wenwu Yu and Guanrong Chen and Jinde Cao and Jinhu L{\"u} and Ulrich Parlitz",

year = "2007",

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T1 - Parameter identification of dynamical systems from time series

AU - Yu, Wenwu

AU - Chen, Guanrong

AU - Cao, Jinde

AU - Lü, Jinhu

AU - Parlitz, Ulrich

PY - 2007/6/6

Y1 - 2007/6/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/34548380576

U2 - 10.1103/PhysRevE.75.067201

DO - 10.1103/PhysRevE.75.067201

M3 - 文章

AN - SCOPUS:34548380576

SN - 1539-3755

VL - 75

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 6

M1 - 067201

ER -

Parameter identification of dynamical systems from time series

Abstract

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