Effects of time-delayed feedback on chaotic oscillators

Jung Wan Ryu; Won Ho Kye; Soo Young Lee; Myung Woon Kim; Muhan Choi; Sunghwan Rim; Young Jai Park; Chil Min Kim

doi:10.1103/PhysRevE.70.036220

Effects of time-delayed feedback on chaotic oscillators

Jung Wan Ryu
, Won Ho Kye
, Soo Young Lee
, Myung Woon Kim
, Muhan Choi
, Sunghwan Rim
, Young Jai Park
, Chil Min Kim

Department of Physics and Chemistry

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

23 Scopus citations

Abstract

The effects of time delayed feedback on chaotic systems where the delay time was fixed and varying was investigated. The typical phase coherent and incoherent chaotic oscillators for the chaotic state were also investigated. The phase diagrams were examined in the parameter space of feedback gain (K) and delay time (τ). It was found that the stability island were observed when the delay time was about τ=(n+1/2)T, where n is an integer and T is the average period of the chaotic oscillator.

Original language	English
Article number	036220
Pages (from-to)	036220-1-036220-7
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	3 2
DOIs	https://doi.org/10.1103/PhysRevE.70.036220
State	Published - Sep 2004

Bibliographical note

Funding Information:
This work was supported by Creative Research Initiatives of the Korean Ministry of Science and Technology.

Access to Document

10.1103/PhysRevE.70.036220

Cite this

@article{af0ed6314c004360838677ba09a4a880,

title = "Effects of time-delayed feedback on chaotic oscillators",

abstract = "The effects of time delayed feedback on chaotic systems where the delay time was fixed and varying was investigated. The typical phase coherent and incoherent chaotic oscillators for the chaotic state were also investigated. The phase diagrams were examined in the parameter space of feedback gain (K) and delay time (τ). It was found that the stability island were observed when the delay time was about τ=(n+1/2)T, where n is an integer and T is the average period of the chaotic oscillator.",

author = "Ryu, \{Jung Wan\} and Kye, \{Won Ho\} and Lee, \{Soo Young\} and Kim, \{Myung Woon\} and Muhan Choi and Sunghwan Rim and Park, \{Young Jai\} and Kim, \{Chil Min\}",

note = "Funding Information: This work was supported by Creative Research Initiatives of the Korean Ministry of Science and Technology.",

year = "2004",

month = sep,

doi = "10.1103/PhysRevE.70.036220",

language = "English",

volume = "70",

pages = "036220--1--036220--7",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society",

number = "3 2",

}

TY - JOUR

T1 - Effects of time-delayed feedback on chaotic oscillators

AU - Ryu, Jung Wan

AU - Kye, Won Ho

AU - Lee, Soo Young

AU - Kim, Myung Woon

AU - Choi, Muhan

AU - Rim, Sunghwan

AU - Park, Young Jai

AU - Kim, Chil Min

N1 - Funding Information: This work was supported by Creative Research Initiatives of the Korean Ministry of Science and Technology.

PY - 2004/9

Y1 - 2004/9

N2 - The effects of time delayed feedback on chaotic systems where the delay time was fixed and varying was investigated. The typical phase coherent and incoherent chaotic oscillators for the chaotic state were also investigated. The phase diagrams were examined in the parameter space of feedback gain (K) and delay time (τ). It was found that the stability island were observed when the delay time was about τ=(n+1/2)T, where n is an integer and T is the average period of the chaotic oscillator.

AB - The effects of time delayed feedback on chaotic systems where the delay time was fixed and varying was investigated. The typical phase coherent and incoherent chaotic oscillators for the chaotic state were also investigated. The phase diagrams were examined in the parameter space of feedback gain (K) and delay time (τ). It was found that the stability island were observed when the delay time was about τ=(n+1/2)T, where n is an integer and T is the average period of the chaotic oscillator.

UR - https://www.scopus.com/pages/publications/37649031920

U2 - 10.1103/PhysRevE.70.036220

DO - 10.1103/PhysRevE.70.036220

M3 - Article

AN - SCOPUS:37649031920

SN - 1539-3755

VL - 70

SP - 036220-1-036220-7

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 3 2

M1 - 036220

ER -

Effects of time-delayed feedback on chaotic oscillators

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this