Strange attractors on pseudospectral solutions for dissipative Zakharov equations

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	Strange attractors on pseudospectral solutions for dissipative Zakharov equations
	Ma, SQ; Chang, QS
	2004-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	24 期号:3 页码:321-336
摘要	In this paper, the pseudospectral method to solve the dissipative Zakharov equations is used. Its convergence is proved by priori estimates. The existence of the global attractors and the estimates of dimension are presented. A class of steady state solutions is also disscussed. The numerical results show that if the steady state solutions satisfy sonic special conditions, they become unstable and limit cycles and strange attractors will occur for very small perturbations. The largest Lyapunov exponent and analysis of the linearized system are applied to explain these phenomena.
关键词	strange attractors psendospectral method Zakharov equations
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000223563300001
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19315
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, SQ
作者单位	Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ma, SQ,Chang, QS. Strange attractors on pseudospectral solutions for dissipative Zakharov equations[J]. ACTA MATHEMATICA SCIENTIA,2004,24(3):321-336.
APA	Ma, SQ,&Chang, QS.(2004).Strange attractors on pseudospectral solutions for dissipative Zakharov equations.ACTA MATHEMATICA SCIENTIA,24(3),321-336.
MLA	Ma, SQ,et al."Strange attractors on pseudospectral solutions for dissipative Zakharov equations".ACTA MATHEMATICA SCIENTIA 24.3(2004):321-336.