INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM

doi:10.4208/jcm.1504-m4543

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM
	He, Yang 1,2,3; Sun, Yajuan 4; Shang, Zaijiu 5; Shang Zaijiu; Sun Yajuan
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2015
卷号	33 期号:5 页码:468-494
关键词	Integrable Lotka-Volterra system Hirota's integrable discretisation Backward error analysis Modified differential equation
ISSN号	0254-9409
DOI	10.4208/jcm.1504-m4543
英文摘要	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 volume-preserving 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.
资助项目	Fundamental Research Funds for the Central Universities[WK2030040057] ; National Natural Science Foundation of China[11271357] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014G-B124005] ; Foundation of the NNSFC[10990012] ; Marine Public Welfare Project of China[201105032]
WOS研究方向	Mathematics
语种	英语
出版者	GLOBAL SCIENCE PRESS
WOS记录号	WOS:000365413300002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21363]
专题	计算数学与科学工程计算研究所数学所
通讯作者	He, Yang
作者单位	1.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China 2.Univ Sci & Technol China, Collaborat Innovat Ctr Adv Fus Energy & Plasma Sc, Hefei 230026, Anhui, Peoples R China 3.Chinese Acad Sci, Univ Sci & Technol China, Key Lab Geospace Environm, Hefei 230026, Anhui, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Yang,Sun, Yajuan,Shang, Zaijiu,et al. INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2015,33(5):468-494.
APA	He, Yang,Sun, Yajuan,Shang, Zaijiu,Shang Zaijiu,&Sun Yajuan.(2015).INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM.JOURNAL OF COMPUTATIONAL MATHEMATICS,33(5),468-494.
MLA	He, Yang,et al."INTEGRABLE DISCRETISATION OF THE LOTKA-VOLTERRA SYSTEM".JOURNAL OF COMPUTATIONAL MATHEMATICS 33.5(2015):468-494.