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	Classification of homoclinic tangencies for periodically perturbed systems
	Tang, Y ; Yang, FH ; Chen, GR ; Zhou, TS
	2010-05-06 ; 2010-05-06
关键词	BOUNDED NOISE CHAOTIC MOTION BIFURCATION DIFFEOMORPHISMS OSCILLATOR EXCITATION Mathematics, Interdisciplinary Applications Physics, Multidisciplinary Physics, Mathematical
中文摘要	Classification of homoclinic tangencies for periodically perturbed systems is discussed. A relationship between the order of Melnikov function's zeros and the harmonic components of a dynamical system is derived. By applying the singularity theory to the Melnikov function, possible types of homoclinic tangencies are studied for realization of the classification. In addition, certain multi-harmonically perturbed systems are investigated, showing the corresponding homoclinic bifurcation with their bifurcation diagrams. (c) 2005 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14005]
专题	清华大学
推荐引用方式 GB/T 7714	Tang, Y,Yang, FH,Chen, GR,et al. Classification of homoclinic tangencies for periodically perturbed systems[J],2010, 2010.
APA	Tang, Y,Yang, FH,Chen, GR,&Zhou, TS.(2010).Classification of homoclinic tangencies for periodically perturbed systems..
MLA	Tang, Y,et al."Classification of homoclinic tangencies for periodically perturbed systems".(2010).

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