The computation of Lyapunov exponents for periodic trajectories

	The computation of Lyapunov exponents for periodic trajectories
	Hong, JL
	2005-12-01
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	15 期号:12 页码:4075-4080
摘要	We present a new method for the numerical computation of Lyapunov exponents of periodic trajectories which is crucial in the investigation of dynamics. The computational time of this method is merely a period of the periodic trajectory considered, when Lyapunov exponents call be approximated as precise as one wants. Our method stems from a combination between Floquet theory on periodic linear differential systems and Lie group methods in structure preserving algorithms on manifolds. The Lyapunov exponents of a periodic trajectory of the Lorenz system and a periodic solitary wave of the nonlinear Schrodinger equation with periodic coefficients are investigated by using the method.
关键词	Lyapunov exponent Floquet theory Lie group method periodic trajectory
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000236293600019
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1700
专题	计算数学与科学工程计算研究所
通讯作者	Hong, JL
作者单位	Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hong, JL. The computation of Lyapunov exponents for periodic trajectories[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2005,15(12):4075-4080.
APA	Hong, JL.(2005).The computation of Lyapunov exponents for periodic trajectories.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,15(12),4075-4080.
MLA	Hong, JL."The computation of Lyapunov exponents for periodic trajectories".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 15.12(2005):4075-4080.