A Method to Calculate Homoclinic Points of a Two-Dimensional Noninvertible Map
Summary :
A numerical method is presented for calculating transverse and non-transverse (or tangent) types of homoclinic points of a two-dimensional noninvertible map having an invariant set that reduces to a one-dimensional noninvertible map. To illustrate bifurcation diagrams of homoclinic points and transitions of chaotic states near the bifurcation parameter values, three systems including coupled chaotic maps are studied.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.9 pp.1560-1566
- Publication Date
- 1997/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
- Category
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Tetsuya YOSHINAGA, Hiroyuki KITAJIMA, Hiroshi KAWAKAMI, Christian MIRA, "A Method to Calculate Homoclinic Points of a Two-Dimensional Noninvertible Map" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 9, pp. 1560-1566, September 1997, doi: .
Abstract: A numerical method is presented for calculating transverse and non-transverse (or tangent) types of homoclinic points of a two-dimensional noninvertible map having an invariant set that reduces to a one-dimensional noninvertible map. To illustrate bifurcation diagrams of homoclinic points and transitions of chaotic states near the bifurcation parameter values, three systems including coupled chaotic maps are studied.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_9_1560/_p
Copy
@ARTICLE{e80-a_9_1560,
author={Tetsuya YOSHINAGA, Hiroyuki KITAJIMA, Hiroshi KAWAKAMI, Christian MIRA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Method to Calculate Homoclinic Points of a Two-Dimensional Noninvertible Map},
year={1997},
volume={E80-A},
number={9},
pages={1560-1566},
abstract={A numerical method is presented for calculating transverse and non-transverse (or tangent) types of homoclinic points of a two-dimensional noninvertible map having an invariant set that reduces to a one-dimensional noninvertible map. To illustrate bifurcation diagrams of homoclinic points and transitions of chaotic states near the bifurcation parameter values, three systems including coupled chaotic maps are studied.},
keywords={},
doi={},
ISSN={},
month={September},}
Copy
TY - JOUR
TI - A Method to Calculate Homoclinic Points of a Two-Dimensional Noninvertible Map
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1560
EP - 1566
AU - Tetsuya YOSHINAGA
AU - Hiroyuki KITAJIMA
AU - Hiroshi KAWAKAMI
AU - Christian MIRA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1997
AB - A numerical method is presented for calculating transverse and non-transverse (or tangent) types of homoclinic points of a two-dimensional noninvertible map having an invariant set that reduces to a one-dimensional noninvertible map. To illustrate bifurcation diagrams of homoclinic points and transitions of chaotic states near the bifurcation parameter values, three systems including coupled chaotic maps are studied.
ER -
English
