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

J C  EILBECK; V Z  ENOLSKII

doi:10.1017/S030821050003016X

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

J C EILBECK, V Z ENOLSKII

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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 language	English
Pages (from-to)	1151-1164
Number of pages	14
Journal	Proceedings of the Royal Society of Edinburgh, Section A: Mathematics
Volume	124
Issue number	6
DOIs	https://doi.org/10.1017/S030821050003016X
Publication status	Published - 1994

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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",

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pages = "1151--1164",

journal = "Proceedings of the Royal Society of Edinburgh, Section A: Mathematics",

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publisher = "Cambridge University Press",

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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

Y1 - 1994

N2 - 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.

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

SN - 0308-2105

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

IS - 6

ER -

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

Abstract

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