Complete synchronization of symmetrically soupled sutonomous systems

Klaus R. Schneider; Serhiy Yanchuk

doi:10.1080/00036810310001620072

Complete synchronization of symmetrically soupled sutonomous systems

Klaus R. Schneider
, Serhiy Yanchuk

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

Abstract

In this article we derive conditions for complete synchronization of two symmetrically coupled identical systems of ordinary differential equations and differential-delay equations. Using Lyapunov function approach we give an estimate of the region of attraction of the synchronized solution. We also established that complete synchronization is robust with respect to small perturbations of the identical systems.

Original language	English
Pages (from-to)	1127-1143
Number of pages	17
Journal	International Journal of Phytoremediation
Volume	82
Issue number	12
DOIs	https://doi.org/10.1080/00036810310001620072
Publication status	Published - Dec 2003
Externally published	Yes

Keywords

2000 Mathematics Subject Classifications: 34C15
34C11
34K20
34K35
Complete synchronization
Coupled systems
Delay differential equations
Goodwin oscillator

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10.1080/00036810310001620072

Cite this

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title = "Complete synchronization of symmetrically soupled sutonomous systems",

abstract = "In this article we derive conditions for complete synchronization of two symmetrically coupled identical systems of ordinary differential equations and differential-delay equations. Using Lyapunov function approach we give an estimate of the region of attraction of the synchronized solution. We also established that complete synchronization is robust with respect to small perturbations of the identical systems.",

keywords = "2000 Mathematics Subject Classifications: 34C15, 34C11, 34K20, 34K35, Complete synchronization, Coupled systems, Delay differential equations, Goodwin oscillator",

author = "Schneider, \{Klaus R.\} and Serhiy Yanchuk",

year = "2003",

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doi = "10.1080/00036810310001620072",

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AU - Yanchuk, Serhiy

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AB - In this article we derive conditions for complete synchronization of two symmetrically coupled identical systems of ordinary differential equations and differential-delay equations. Using Lyapunov function approach we give an estimate of the region of attraction of the synchronized solution. We also established that complete synchronization is robust with respect to small perturbations of the identical systems.

KW - 2000 Mathematics Subject Classifications: 34C15

KW - 34C11

KW - 34K20

KW - 34K35

KW - Complete synchronization

KW - Coupled systems

KW - Delay differential equations

KW - Goodwin oscillator

UR - https://www.scopus.com/pages/publications/12444272676

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DO - 10.1080/00036810310001620072

M3 - Article

AN - SCOPUS:12444272676

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EP - 1143

JO - International Journal of Phytoremediation

JF - International Journal of Phytoremediation

IS - 12

ER -

Complete synchronization of symmetrically soupled sutonomous systems

Abstract

Keywords

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