KMS Of Academy of mathematics and systems sciences, CAS
INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM | |
He Yang1; Sun Yajuan2; Shang Zaijiu2 | |
2015 | |
发表期刊 | Journal of Computational Mathematics |
ISSN | 0254-9409 |
卷号 | 33期号:5页码:468 |
摘要 | In this paper, we apply Hirota's discretisation to a three-dimensional integrable Lotka-Volterra system. By analyzing the three-dimensional modified equation of the resulting numerical method, we show that it is volume-preserving, and has two independent first integrals. Moreover, it can be formally reduced to a system in one dimension via a volumepreserving transformation. If the given initial value is located in the positive octant, we prove that the numerical solution is confined to a one-dimensional connected and compact space which is diffeomorphic to a circle. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/21364 |
专题 | 计算数学与科学工程计算研究所 数学所 |
作者单位 | 1.中国科学技术大学 2.中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | He Yang,Sun Yajuan,Shang Zaijiu. INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM[J]. Journal of Computational Mathematics,2015,33(5):468. |
APA | He Yang,Sun Yajuan,&Shang Zaijiu.(2015).INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM.Journal of Computational Mathematics,33(5),468. |
MLA | He Yang,et al."INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM".Journal of Computational Mathematics 33.5(2015):468. |
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