Dynamical parameter identification from a scalar time series

Chaos
Dongchuan Yu, Fang Liu

Abstract

If a drive system with unknown parameters represents "reality" and the response system a "computational model," the unidirectional coupling can be used to change model parameters, as well as the model state, such that both systems synchronize with each other and model parameters coincide with their true values of "reality." Such a parameter identification method is called adaptive synchronization (also autosynchronization) method and is widely used in the literature. Because one usually cannot find proper parameter update rules by exploiting information obtained from only a scalar time series, parameter identification with adaptive synchronization from a scalar time series is not well understood and still remains challenging until now. In this paper we introduce a novel adaptive synchronization approach with an effective guidance parameter to update rule design. This method includes three steps: (i) finding some proper control signals such that the "computational model" synchronizes with the "real" system if no parameter mismatch exists (that is, both systems have identical parameters); (ii) designing parameter update rules in terms of a necessary condition for ensuring local synchronization; and (iii) determining the value for...Continue Reading

References

Feb 19, 1990·Physical Review Letters·L M Pecora, T L Carroll
Feb 19, 1996·Physical Review Letters·U Parlitz
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rahul Konnur
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debin Huang
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Christophe LetellierJean Maquet
Dec 13, 2006·Physical Review Letters·Dongchuan YuLjupco Kocarev
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dongchuan Yu, Ulrich Parlitz
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dongchuan Yu, Stefano Boccaletti

❮ Previous
Next ❯

Citations

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

❮ Previous
Next ❯

Software Mentioned

MATLAB

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Inés P Mariño, Joaquín Míguez
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Maoyin Chen, Jürgen Kurths
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Dongchuan Yu, Ulrich Parlitz
© 2021 Meta ULC. All rights reserved