Complete synchronizability of chaotic systems: A geometric approach

G. Solís-Perales; V. Ayala; W. Kliemann; R. Femat

doi:10.1063/1.1566511

Complete synchronizability of chaotic systems: A geometric approach

G. Solís-Perales
, V. Ayala
, W. Kliemann
, R. Femat

Instituto Potosino de Investigacion Cientifica y Tecnologica
Universidad Católica del Norte
Iowa State University

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

18 Scopus citations

Abstract

Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on Synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete Synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the Synchronizability is studied for complete synchronization via state feedback control.

Original language	English
Pages (from-to)	495-501
Number of pages	7
Journal	Chaos
Volume	13
Issue number	2
DOIs	https://doi.org/10.1063/1.1566511
State	Published - Jun 2003
Externally published	Yes

Access to Document

10.1063/1.1566511

Cite this

@article{6435c8d6bff945718eb267e8cbcd0e3c,

title = "Complete synchronizability of chaotic systems: A geometric approach",

abstract = "Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on Synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete Synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the Synchronizability is studied for complete synchronization via state feedback control.",

author = "G. Sol{\'i}s-Perales and V. Ayala and W. Kliemann and R. Femat",

year = "2003",

month = jun,

doi = "10.1063/1.1566511",

language = "English",

volume = "13",

pages = "495--501",

journal = "Chaos",

issn = "1054-1500",

number = "2",

}

TY - JOUR

T1 - Complete synchronizability of chaotic systems

T2 - A geometric approach

AU - Solís-Perales, G.

AU - Ayala, V.

AU - Kliemann, W.

AU - Femat, R.

PY - 2003/6

Y1 - 2003/6

N2 - Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on Synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete Synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the Synchronizability is studied for complete synchronization via state feedback control.

AB - Synchronizability of chaotic systems is studied in this contribution. Geometrical tools are used to understand the properties of vector fields in affine systems. The discussion is focused on Synchronizability of chaotic systems with equal order. The analysis is based on the synchronous behavior of all states of the master/slave system (complete synchronization). We state sufficient and necessary conditions for complete Synchronizability which are based on controllability and observability of nonlinear affine systems. In this sense, the Synchronizability is studied for complete synchronization via state feedback control.

UR - https://www.scopus.com/pages/publications/0043210905

U2 - 10.1063/1.1566511

DO - 10.1063/1.1566511

M3 - Article

AN - SCOPUS:0043210905

SN - 1054-1500

VL - 13

SP - 495

EP - 501

JO - Chaos

JF - Chaos

IS - 2

ER -

Complete synchronizability of chaotic systems: A geometric approach

Abstract

Access to Document

Other files and links

Fingerprint

Cite this