Impulsive synchronization and parameter mismatch of the three-variable autocatalator model

Yang Li; Xiaofeng Liao; Chuandong Li; Tingwen Huang; Degang Yang

doi:10.1016/j.physleta.2006.12.073

Impulsive synchronization and parameter mismatch of the three-variable autocatalator model

Yang Li^*
, Xiaofeng Liao
, Chuandong Li
, Tingwen Huang
, Degang Yang

^*Corresponding author for this work

Chongqing University
Texas A&M University at Qatar
Chongqing Normal University

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

20 Scopus citations

Abstract

The synchronization problems of the three-variable autocatalator model via impulsive control approach are investigated; several theorems on the stability of impulsive control systems are also investigated. These theorems are then used to find the conditions under which the three-variable autocatalator model can be asymptotically controlled to the equilibrium point. This Letter derives some sufficient conditions for the stabilization and synchronization of a three-variable autocatalator model via impulsive control with varying impulsive intervals. Furthermore, we address the chaos quasi-synchronization in the presence of single-parameter mismatch. To illustrate the effectiveness of the new scheme, several numerical examples are given.

Original language	English
Pages (from-to)	52-60
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	366
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physleta.2006.12.073
State	Published - 18 Jun 2007
Externally published	Yes

Keywords

Chaos
Impulsive stabilization
Impulsive synchronization
Parameter mismatch

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10.1016/j.physleta.2006.12.073

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abstract = "The synchronization problems of the three-variable autocatalator model via impulsive control approach are investigated; several theorems on the stability of impulsive control systems are also investigated. These theorems are then used to find the conditions under which the three-variable autocatalator model can be asymptotically controlled to the equilibrium point. This Letter derives some sufficient conditions for the stabilization and synchronization of a three-variable autocatalator model via impulsive control with varying impulsive intervals. Furthermore, we address the chaos quasi-synchronization in the presence of single-parameter mismatch. To illustrate the effectiveness of the new scheme, several numerical examples are given.",

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author = "Yang Li and Xiaofeng Liao and Chuandong Li and Tingwen Huang and Degang Yang",

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T1 - Impulsive synchronization and parameter mismatch of the three-variable autocatalator model

AU - Li, Yang

AU - Liao, Xiaofeng

AU - Li, Chuandong

AU - Huang, Tingwen

AU - Yang, Degang

PY - 2007/6/18

Y1 - 2007/6/18

N2 - The synchronization problems of the three-variable autocatalator model via impulsive control approach are investigated; several theorems on the stability of impulsive control systems are also investigated. These theorems are then used to find the conditions under which the three-variable autocatalator model can be asymptotically controlled to the equilibrium point. This Letter derives some sufficient conditions for the stabilization and synchronization of a three-variable autocatalator model via impulsive control with varying impulsive intervals. Furthermore, we address the chaos quasi-synchronization in the presence of single-parameter mismatch. To illustrate the effectiveness of the new scheme, several numerical examples are given.

AB - The synchronization problems of the three-variable autocatalator model via impulsive control approach are investigated; several theorems on the stability of impulsive control systems are also investigated. These theorems are then used to find the conditions under which the three-variable autocatalator model can be asymptotically controlled to the equilibrium point. This Letter derives some sufficient conditions for the stabilization and synchronization of a three-variable autocatalator model via impulsive control with varying impulsive intervals. Furthermore, we address the chaos quasi-synchronization in the presence of single-parameter mismatch. To illustrate the effectiveness of the new scheme, several numerical examples are given.

KW - Chaos

KW - Impulsive stabilization

KW - Impulsive synchronization

KW - Parameter mismatch

UR - https://www.scopus.com/pages/publications/34247575317

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DO - 10.1016/j.physleta.2006.12.073

M3 - 文章

AN - SCOPUS:34247575317

SN - 0375-9601

VL - 366

SP - 52

EP - 60

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

Impulsive synchronization and parameter mismatch of the three-variable autocatalator model

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Keywords

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