The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Surat ini mencadangkan kaedah berangka untuk menghampiri lokasi dan dinamik pada kelas pelana huru-hara. Berbeza dengan strategi konvensional untuk memaksimumkan masa melarikan diri, cadangan kami adalah untuk mengenakan syarat pengembangan sifar di sepanjang arah pelana huru-hara yang melintang menolak. Strategi ini mengeksploitasi kewujudan orbit berkala yang tidak stabil membentuk rangka yang tertanam dalam pelana huru-hara, dan dengan itu boleh dilaksanakan dengan mudah sebagai varian kaedah jenis Newton subruang. Algoritma diperiksa melalui ilustrasi dan contoh standard yang lain.
Hidetaka ITO
Kansai University
Hiroomi HIKAWA
Kansai University
Yutaka MAEDA
Kansai University
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Salinan
Hidetaka ITO, Hiroomi HIKAWA, Yutaka MAEDA, "A Subspace Newton-Type Method for Approximating Transversely Repelling Chaotic Saddles" in IEICE TRANSACTIONS on Fundamentals,
vol. E101-A, no. 7, pp. 1127-1131, July 2018, doi: 10.1587/transfun.E101.A.1127.
Abstract: This letter proposes a numerical method for approximating the location of and dynamics on a class of chaotic saddles. In contrast to the conventional strategy of maximizing the escape time, our proposal is to impose a zero-expansion condition along transversely repelling directions of chaotic saddles. This strategy exploits the existence of skeleton-forming unstable periodic orbits embedded in chaotic saddles, and thus can be conveniently implemented as a variant of subspace Newton-type methods. The algorithm is examined through an illustrative and another standard example.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E101.A.1127/_p
Salinan
@ARTICLE{e101-a_7_1127,
author={Hidetaka ITO, Hiroomi HIKAWA, Yutaka MAEDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Subspace Newton-Type Method for Approximating Transversely Repelling Chaotic Saddles},
year={2018},
volume={E101-A},
number={7},
pages={1127-1131},
abstract={This letter proposes a numerical method for approximating the location of and dynamics on a class of chaotic saddles. In contrast to the conventional strategy of maximizing the escape time, our proposal is to impose a zero-expansion condition along transversely repelling directions of chaotic saddles. This strategy exploits the existence of skeleton-forming unstable periodic orbits embedded in chaotic saddles, and thus can be conveniently implemented as a variant of subspace Newton-type methods. The algorithm is examined through an illustrative and another standard example.},
keywords={},
doi={10.1587/transfun.E101.A.1127},
ISSN={1745-1337},
month={July},}
Salinan
TY - JOUR
TI - A Subspace Newton-Type Method for Approximating Transversely Repelling Chaotic Saddles
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1127
EP - 1131
AU - Hidetaka ITO
AU - Hiroomi HIKAWA
AU - Yutaka MAEDA
PY - 2018
DO - 10.1587/transfun.E101.A.1127
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E101-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2018
AB - This letter proposes a numerical method for approximating the location of and dynamics on a class of chaotic saddles. In contrast to the conventional strategy of maximizing the escape time, our proposal is to impose a zero-expansion condition along transversely repelling directions of chaotic saddles. This strategy exploits the existence of skeleton-forming unstable periodic orbits embedded in chaotic saddles, and thus can be conveniently implemented as a variant of subspace Newton-type methods. The algorithm is examined through an illustrative and another standard example.
ER -