@article{dab872cc0b394d59bfd492c35bf9f592,
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.",
year = "2008",
month = may,
day = "10",
doi = "10.1142/S0217979208039228",
language = "English",
volume = "22",
pages = "1911--1922",
journal = "International Journal of Modern Physics B",
issn = "0217-9792",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "12",
}