Rational integrability of trigonometric polynomial potentials on the flat torus

Author:

Combot Thierry

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference21 articles.

1. Adler, M. and van Moerbeke, P., Kowalewski’s Asymptotic Method, Kac–Moody Lie Algebras and Regularization, Comm. Math. Phys., 1982, vol. 83, no. 1, pp. 83–106.

2. Agapov, S.V. and Alexandrov, D.N., Fourth-Degree Polynomial Integrals of a Natural Mechanical System on a Two-Dimensional Torus, Math. Notes, 2013, vol. 93, no. 5, pp. 780–783; see also: Mat. Zametki, 2013, vol. 93, no. 5, pp. 790–793.

3. Borisov, A. V. and Mamaev, I. S., Necessary and Sufficient Conditions for the Polynomial Integrability of Generalized Toda Chains, Dokl. Math., 2004, vol. 69, no. 1, pp. 131–135; see also: Dokl. Akad. Nauk, 2004, vol. 394, no. 4, pp. 449–453.

4. Chèze, G., Elkadi, M., Galligo, A., and Weimann, M., Absolute Factoring of Bidegree Bivariate Polynomials, ACM Commun. Comput. Algebra, 2009, vol. 42, no. 3, pp. 151–153.

5. Chèze, G. and Lecerf, G., Lifting and Recombination Techniques for Absolute Factorization, J. Complexity, 2007, vol. 23, no. 3, pp. 380–420.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Deformational rigidity of integrable metrics on the torus;Ergodic Theory and Dynamical Systems;2024-09-09

2. Integrable magnetic geodesic flows on 2-surfaces *;Nonlinearity;2023-03-15

3. Rational integrals of 2-dimensional geodesic flows: New examples;Journal of Geometry and Physics;2021-12

4. On First Integrals of Two-Dimensional Geodesic Flows;Siberian Mathematical Journal;2020-07

5. Rational Integrals of a Natural Mechanical System on the 2-Torus;Siberian Mathematical Journal;2020-03

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3