IEICE TRANSACTIONS on Fundamentals
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.
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- IEICE TRANSACTIONS on Fundamentals Vol.E80-A No.9 pp.1560-1566
- Publication Date
- 1997/09/25
- Publicized
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- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)
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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
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@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},}
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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
