Elliptic solutions and blow-up in an integrable Hénon–Heiles system

J C EILBECK, V Z ENOLSKII

Research output: Contribution to journalArticle

Abstract

We consider an integrable case of the Henon-Heiles system and use an isomorphism with the two-gap KdV-flow to construct families of real elliptic trajectories which are associated with two-gap elliptic solitons of the KdV equation. Some of these solutions exhibit blow-up in finite time.

Original languageEnglish
Pages (from-to)1151-1164
Number of pages14
JournalProceedings of the Royal Society of Edinburgh, Section A: Mathematics
Volume124
Issue number6
DOIs
Publication statusPublished - 1994

Cite this

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title = "Elliptic solutions and blow-up in an integrable H{\'e}non–Heiles system",
abstract = "We consider an integrable case of the Henon-Heiles system and use an isomorphism with the two-gap KdV-flow to construct families of real elliptic trajectories which are associated with two-gap elliptic solitons of the KdV equation. Some of these solutions exhibit blow-up in finite time.",
author = "EILBECK, {J C} and ENOLSKII, {V Z}",
year = "1994",
doi = "10.1017/S030821050003016X",
language = "English",
volume = "124",
pages = "1151--1164",
journal = "Proceedings of the Royal Society of Edinburgh, Section A: Mathematics",
issn = "0308-2105",
publisher = "Cambridge University Press",
number = "6",

}

Elliptic solutions and blow-up in an integrable Hénon–Heiles system. / EILBECK, J C ; ENOLSKII, V Z .

In: Proceedings of the Royal Society of Edinburgh, Section A: Mathematics, Vol. 124, No. 6, 1994, p. 1151-1164.

Research output: Contribution to journalArticle

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T1 - Elliptic solutions and blow-up in an integrable Hénon–Heiles system

AU - EILBECK, J C

AU - ENOLSKII, V Z

PY - 1994

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AB - We consider an integrable case of the Henon-Heiles system and use an isomorphism with the two-gap KdV-flow to construct families of real elliptic trajectories which are associated with two-gap elliptic solitons of the KdV equation. Some of these solutions exhibit blow-up in finite time.

U2 - 10.1017/S030821050003016X

DO - 10.1017/S030821050003016X

M3 - Article

VL - 124

SP - 1151

EP - 1164

JO - Proceedings of the Royal Society of Edinburgh, Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh, Section A: Mathematics

SN - 0308-2105

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ER -