Origin of the transition inside the desynchronized state in coupled chaotic oscillators

Chil Min Kim; Won Ho Kye; Sunghwan Rim; Dong Uk Hwang; Inbo Kim; Young Jai Park; Eok Kyun Lee

doi:10.1016/S0375-9601(03)00694-7

Origin of the transition inside the desynchronized state in coupled chaotic oscillators

Chil Min Kim
, Won Ho Kye
, Sunghwan Rim
, Dong Uk Hwang
, Inbo Kim
, Young Jai Park
, Eok Kyun Lee

Department of Physics and Chemistry

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

5 Scopus citations

Abstract

We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is 〈l〉 α exp(α|ε_t - ε|^3/2) for ε_t - ε < 0 and 〈l〉 α (ε_t - ε)-^1/2 for ε_t - ε > 0, where (l) is the average length of the phase locking state and ε is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.

Original language	English
Pages (from-to)	62-67
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	313
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(03)00694-7
State	Published - 23 Jun 2003

Bibliographical note

Funding Information:
Authors thank S.-Y. Lee for helpful discussions. This work is supported by Creative Research Initiatives of the Korean Ministry of Science and Technology.

Access to Document

10.1016/S0375-9601(03)00694-7

Cite this

@article{f911e11489f44db8a69965a9119dfd8c,

title = "Origin of the transition inside the desynchronized state in coupled chaotic oscillators",

abstract = "We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is 〈l〉 α exp(α|εt - ε|3/2) for εt - ε < 0 and 〈l〉 α (εt - ε)-1/2 for εt - ε > 0, where (l) is the average length of the phase locking state and ε is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.",

author = "Kim, \{Chil Min\} and Kye, \{Won Ho\} and Sunghwan Rim and Hwang, \{Dong Uk\} and Inbo Kim and Park, \{Young Jai\} and Lee, \{Eok Kyun\}",

note = "Funding Information: Authors thank S.-Y. Lee for helpful discussions. This work is supported by Creative Research Initiatives of the Korean Ministry of Science and Technology. ",

year = "2003",

month = jun,

day = "23",

doi = "10.1016/S0375-9601(03)00694-7",

language = "English",

volume = "313",

pages = "62--67",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "1-2",

}

TY - JOUR

T1 - Origin of the transition inside the desynchronized state in coupled chaotic oscillators

AU - Kim, Chil Min

AU - Kye, Won Ho

AU - Rim, Sunghwan

AU - Hwang, Dong Uk

AU - Kim, Inbo

AU - Park, Young Jai

AU - Lee, Eok Kyun

N1 - Funding Information: Authors thank S.-Y. Lee for helpful discussions. This work is supported by Creative Research Initiatives of the Korean Ministry of Science and Technology.

PY - 2003/6/23

Y1 - 2003/6/23

N2 - We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is 〈l〉 α exp(α|εt - ε|3/2) for εt - ε < 0 and 〈l〉 α (εt - ε)-1/2 for εt - ε > 0, where (l) is the average length of the phase locking state and ε is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.

AB - We investigate the origin of the transition inside the desynchronization state via phase jumps in coupled chaotic oscillators. We claim that the transition is governed by type-I intermittency in the presence of noise whose characteristic relation is 〈l〉 α exp(α|εt - ε|3/2) for εt - ε < 0 and 〈l〉 α (εt - ε)-1/2 for εt - ε > 0, where (l) is the average length of the phase locking state and ε is the coupling strength. To justify our claim we obtain analytically the tangent point, the bifurcation point, and the return map which agree well with those of the numerical simulations.

UR - https://www.scopus.com/pages/publications/0038005399

U2 - 10.1016/S0375-9601(03)00694-7

DO - 10.1016/S0375-9601(03)00694-7

M3 - Article

AN - SCOPUS:0038005399

SN - 0375-9601

VL - 313

SP - 62

EP - 67

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 -

Origin of the transition inside the desynchronized state in coupled chaotic oscillators

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this