Parameter identification of dynamical systems from time series

被引：101

作者：

Yu, Wenwu ^{[1
]}

Chen, Guanrong

Cao, Jinde

Lu, Jinhu

Parlitz, Ulrich

机构：

[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

[3] Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[4] Princeton Univ, Dept Ecol & Evolut Biol, Princeton, NJ 08544 USA

[5] Univ Gottingen, Drittes Phys Inst, D-37077 Gottingen, Germany

来源：

PHYSICAL REVIEW E | 2007年 / 75卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.75.067201

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

引用

页数：4

共 22 条

[1] Adaptive synchronization of neural networks with or without time-varying delay [J].

Cao, JD ;

Lu, JQ .

CHAOS, 2006, 16 (01)

[2] Stability and Hopf bifurcation in a simplified BAM neural network with two time delays [J].

Cao, Jinde ;

Xiao, Min .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02) :416-430

[3]

Chen G., 1998, CHAOS ORDER METHODOL

[4] Parameters identification and synchronization of chaotic systems based upon adaptive control [J].

Chen, Shihua ;

Lü, Jinhu .

Physics Letters, Section A: General, Atomic and Solid State Physics, 2002, 299 (04) :353-358

[5]

Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7

[6] Simple adaptive-feedback controller for identical chaos synchronization [J].

Huang, DB .

PHYSICAL REVIEW E, 2005, 71 (03)

[7]

Huang DB, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.067201

[8] Stabilizing near-nonhyperbolic chaotic systems with applications [J].

Huang, DB .

PHYSICAL REVIEW LETTERS, 2004, 93 (21)

[9] Identifying parameter by identical synchronization between different systems [J].

Huang, DB ;

Guo, RW .

CHAOS, 2004, 14 (01) :152-159

[10] Adaptive-feedback control algorithm [J].

Huang, Debin .

PHYSICAL REVIEW E, 2006, 73 (06)

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