Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory

Zheng Ming Ge; Shih Yu Li

doi:10.1016/j.apm.2011.03.022

Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory

Zheng Ming Ge
, Shih Yu Li

自動化科技研究所

研究成果: 期刊貢獻 › 文章 › 同行評審

19 引文斯高帕斯（Scopus）

摘要

In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Duffing-Van der Pol system to show the effectiveness of this strategy.

原文	English
頁（從 - 到）	5245-5264
頁數	20
期刊	Applied Mathematical Modelling
卷	35
發行號	11
DOIs	https://doi.org/10.1016/j.apm.2011.03.022
出版狀態	Published - 11月 2011

文獻附註

Funding Information:
This research was supported by the National Science Council, Republic of China , under Grant No. NSC 96-2221-E-009-145-MY3 .

存取文件

10.1016/j.apm.2011.03.022

其它文件與鏈接

Link to publication in Scopus

引用此

@article{21309a3b40204a4a93166c32be999401,

title = "Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory",

abstract = "In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Duffing-Van der Pol system to show the effectiveness of this strategy.",

keywords = "Chaos, Generalized synchronization, New Duffing-van der Pol system, New Mathieu-van der Pol system, Partial region stability theory, Synchronization",

author = "Ge, \{Zheng Ming\} and Li, \{Shih Yu\}",

note = "Funding Information: This research was supported by the National Science Council, Republic of China , under Grant No. NSC 96-2221-E-009-145-MY3 .",

year = "2011",

month = nov,

doi = "10.1016/j.apm.2011.03.022",

language = "???core.languages.en\_GB???",

volume = "35",

pages = "5245--5264",

journal = "Applied Mathematical Modelling",

issn = "0307-904X",

publisher = "Elsevier Inc.",

number = "11",

}

TY - JOUR

T1 - Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory

AU - Ge, Zheng Ming

AU - Li, Shih Yu

N1 - Funding Information: This research was supported by the National Science Council, Republic of China , under Grant No. NSC 96-2221-E-009-145-MY3 .

PY - 2011/11

Y1 - 2011/11

N2 - In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Duffing-Van der Pol system to show the effectiveness of this strategy.

AB - In this paper, a new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Duffing-Van der Pol system to show the effectiveness of this strategy.

KW - Chaos

KW - Generalized synchronization

KW - New Duffing-van der Pol system

KW - New Mathieu-van der Pol system

KW - Partial region stability theory

KW - Synchronization

UR - https://www.scopus.com/pages/publications/79957754152

U2 - 10.1016/j.apm.2011.03.022

DO - 10.1016/j.apm.2011.03.022

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:79957754152

SN - 0307-904X

VL - 35

SP - 5245

EP - 5264

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 11

ER -

Chaos generalized synchronization of new Mathieu-Van der Pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory

摘要

文獻附註

存取文件

其它文件與鏈接

指紋

引用此