PMID: 15244789Jul 13, 2004Paper

Synchronization-based estimation of all parameters of chaotic systems from time series

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Debin Huang

Abstract

By a simple combination of adaptive scheme and linear feedback with the updated feedback strength, for a large class of chaotic systems it is proved rigorously by using the invariance principle of differential equations that all unknown model parameters can be estimated dynamically. This approach supplies a systematic and analytical procedure for estimating parameters from time series, and it is simple to implement in practice. In addition, this method is quite robust against the effect of noise and able to respond rapidly to changes in operating parameters of the experimental system. Lorenz and Rössler hyperchaos systems are used to illustrate the validity of this technique.

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Citations

Dec 5, 2012·PLoS Computational Biology·Madineh Sedigh-SarvestaniBruce J Gluckman
Nov 28, 2013·PloS One·Inés P MariñoAlexey Zaikin
Apr 8, 2006·Chaos·Maoyin Chen, Donghua Zhou
Jul 8, 2008·Chaos·Meng Juan, Wang Xingyuan
Jul 8, 2008·Chaos·Dongchuan YuPik-Yin Lai
Jan 7, 2009·Chaos·Dongchuan Yu, Fang Liu
Jul 2, 2010·Chaos·Hengdong Wei, Liping Li
Dec 17, 2004·Physical Review Letters·Debin Huang
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debin Huang
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Inés P Mariño, Joaquín Míguez
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debin Huang
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wenlian Lu
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wenwu YuUlrich Parlitz
Mar 21, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Henry D I AbarbanelJames M Jeanne
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dongchuan Yu, Ulrich Parlitz
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·John C QuinnHenry D I Abarbanel
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mattia FrascaLuigi Fortuna
Apr 1, 2019·Journal of Pharmacokinetics and Pharmacodynamics·Nikhil PillaiImmanuel Freedman
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chaohua DaiYixian Yang
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R E Amritkar
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maoyin Chen, Jürgen Kurths
Dec 13, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debin Huang
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Inés P MariñoRiccardo Meucci
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Huanfei MaJianfeng Feng
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Inés P Mariño, Joaquín Míguez
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dan WuLiang Wu
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ashraf A Zaher
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei Lin, Huan-Fei Ma

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