Analytical study for reconnection of stable/unstabl manifolds of the Harper map

Shigeru Ajisaka; Shuichi Tasaki

doi:10.1088/1742-6596/31/1/066

Analytical study for reconnection of stable/unstabl manifolds of the Harper map

Shigeru Ajisaka, Shuichi Tasaki

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

Abstract

The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct unstable/stable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the unstable/stable manifolds are analytically shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.

Original language	English
Pages (from-to)	227-228
Number of pages	2
Journal	Journal of Physics: Conference Series
Volume	31
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/31/1/066
State	Published - 22 Mar 2006
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1088/1742-6596/31/1/066

Cite this

@article{4ffc5094ddd644ed850baff1889c014d,

title = "Analytical study for reconnection of stable/unstabl manifolds of the Harper map",

abstract = "The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct unstable/stable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the unstable/stable manifolds are analytically shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.",

author = "Shigeru Ajisaka and Shuichi Tasaki",

year = "2006",

month = mar,

day = "22",

doi = "10.1088/1742-6596/31/1/066",

language = "English",

volume = "31",

pages = "227--228",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Analytical study for reconnection of stable/unstabl manifolds of the Harper map

AU - Ajisaka, Shigeru

AU - Tasaki, Shuichi

PY - 2006/3/22

Y1 - 2006/3/22

N2 - The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct unstable/stable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the unstable/stable manifolds are analytically shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.

AB - The Harper map is one of the simplest chaotic systems exhibiting reconnection of invariant manifolds. The method of asymptotics beyond all orders (ABAO) is used to construct unstable/stable manifolds of the Harper map. When the parameter changes to the reconnection threshold, the unstable/stable manifolds are analytically shown to acquire new oscillatory portion corresponding to the heteroclinic tangle after the reconnection.

UR - http://www.scopus.com/inward/record.url?scp=33645407160&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/31/1/066

DO - 10.1088/1742-6596/31/1/066

M3 - Article

AN - SCOPUS:33645407160

SN - 1742-6588

VL - 31

SP - 227

EP - 228

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

ER -

Analytical study for reconnection of stable/unstabl manifolds of the Harper map

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this