Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential

Bao Feng Feng; Ken Ichi Maruno

doi:10.1142/S0217979208039228

Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential

Bao Feng Feng^*, Ken Ichi Maruno

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.

Original language	English
Pages (from-to)	1911-1922
Number of pages	12
Journal	International Journal of Modern Physics B
Volume	22
Issue number	12
DOIs	https://doi.org/10.1142/S0217979208039228
Publication status	Published - 2008 May 10
Externally published	Yes

Keywords

Hamiltonian system
Integrable mappings
Separation of variables

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Condensed Matter Physics

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10.1142/S0217979208039228

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title = "Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential",

abstract = "In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.",

keywords = "Hamiltonian system, Integrable mappings, Separation of variables",

author = "Feng, {Bao Feng} and Maruno, {Ken Ichi}",

note = "Funding Information: B. F. is grateful for the support of the U.S. Army Research Office under Contract No. W911NF-05-1-0029. K. M. acknowledges support from the 21st Century COE program “Development of Dynamic Mathematics with High Functionality” at the Faculty of Mathematics, Kyushu University and the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists.",

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AU - Feng, Bao Feng

AU - Maruno, Ken Ichi

N1 - Funding Information: B. F. is grateful for the support of the U.S. Army Research Office under Contract No. W911NF-05-1-0029. K. M. acknowledges support from the 21st Century COE program “Development of Dynamic Mathematics with High Functionality” at the Faculty of Mathematics, Kyushu University and the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Young Scientists.

PY - 2008/5/10

Y1 - 2008/5/10

N2 - In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.

AB - In this paper, we propose integrable discretizations of a two-dimensional Hamiltonian system with a quartic potential. Using either the method of separation of variables or the method based on bilinear forms, we construct the corresponding integrable mappings for the first three among four integrable cases.

KW - Hamiltonian system

KW - Integrable mappings

KW - Separation of variables

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Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential

Abstract

Keywords

ASJC Scopus subject areas

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