Dimension of strange attractors in four-dimensional maps

Jing Zhi Huang; Kwok Yeung Tsang; James D. Hanson

doi:10.1016/0375-9601(90)90446-U

Dimension of strange attractors in four-dimensional maps

Jing Zhi Huang, Kwok Yeung Tsang, James D. Hanson

Finance

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

Abstract

The method of Tsang for calculating the Hausdorff dimension of a strange attractor in two-dimensional maps is generalized to a four-dimensional map for the double rotor system. The computed dimension compares well with previous work, and is much faster computationally.

Original language	English (US)
Pages (from-to)	269-274
Number of pages	6
Journal	Physics Letters A
Volume	147
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(90)90446-U
State	Published - Jul 16 1990

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Access to Document

10.1016/0375-9601(90)90446-U

Cite this

@article{d27b5b9bf57841728c6830484ccaa75c,

title = "Dimension of strange attractors in four-dimensional maps",

abstract = "The method of Tsang for calculating the Hausdorff dimension of a strange attractor in two-dimensional maps is generalized to a four-dimensional map for the double rotor system. The computed dimension compares well with previous work, and is much faster computationally.",

author = "Huang, \{Jing Zhi\} and Tsang, \{Kwok Yeung\} and Hanson, \{James D.\}",

year = "1990",

month = jul,

day = "16",

doi = "10.1016/0375-9601(90)90446-U",

language = "English (US)",

volume = "147",

pages = "269--274",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "5-6",

}

TY - JOUR

T1 - Dimension of strange attractors in four-dimensional maps

AU - Huang, Jing Zhi

AU - Tsang, Kwok Yeung

AU - Hanson, James D.

PY - 1990/7/16

Y1 - 1990/7/16

N2 - The method of Tsang for calculating the Hausdorff dimension of a strange attractor in two-dimensional maps is generalized to a four-dimensional map for the double rotor system. The computed dimension compares well with previous work, and is much faster computationally.

AB - The method of Tsang for calculating the Hausdorff dimension of a strange attractor in two-dimensional maps is generalized to a four-dimensional map for the double rotor system. The computed dimension compares well with previous work, and is much faster computationally.

UR - https://www.scopus.com/pages/publications/45149137329

UR - https://www.scopus.com/inward/citedby.url?scp=45149137329&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(90)90446-U

DO - 10.1016/0375-9601(90)90446-U

M3 - Article

AN - SCOPUS:45149137329

SN - 0375-9601

VL - 147

SP - 269

EP - 274

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

Dimension of strange attractors in four-dimensional maps

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this