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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