INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM

	INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM
	He Yang 1; Sun Yajuan2 ; Shang Zaijiu2
	2015-01-01
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.