Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)

运用定性分析方法,系统地研究了船舶参-强激励横摇动力学系统的周期与混沌运动表现.首先运用Poincaré定理讨论了系统模型的调和解分岔,给出了近似调和解;随后讨论了系统模型次调和解分岔,给出了相应的近似次调和解;最后运用Melnikov函数法讨论了系统的混沌运动表现....

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Main Authors: LULi-gang(鲁立刚), YUANLin-zhong(袁林忠), CHENBao-wei(陈宝薇)
Format: Article
Language:zho
Published: Zhejiang University Press 2011-11-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2011.06.006
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author LULi-gang(鲁立刚)
YUANLin-zhong(袁林忠)
CHENBao-wei(陈宝薇)
author_facet LULi-gang(鲁立刚)
YUANLin-zhong(袁林忠)
CHENBao-wei(陈宝薇)
author_sort LULi-gang(鲁立刚)
collection DOAJ
description 运用定性分析方法,系统地研究了船舶参-强激励横摇动力学系统的周期与混沌运动表现.首先运用Poincaré定理讨论了系统模型的调和解分岔,给出了近似调和解;随后讨论了系统模型次调和解分岔,给出了相应的近似次调和解;最后运用Melnikov函数法讨论了系统的混沌运动表现.
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spelling doaj.art-dc3eeb14b7c24230b803997cbcf4a2b92024-03-29T01:58:30ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972011-11-0138663263910.3785/j.issn.1008-9497.2011.06.006Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)LULi-gang(鲁立刚)0YUANLin-zhong(袁林忠)1CHENBao-wei(陈宝薇)2Zhejiang Wanli University, Ningbo 315010, Zhejiang Province, China(浙江万里学院,浙江 宁波 315016)Zhejiang Wanli University, Ningbo 315010, Zhejiang Province, China(浙江万里学院,浙江 宁波 315016)Zhejiang Wanli University, Ningbo 315010, Zhejiang Province, China(浙江万里学院,浙江 宁波 315016)运用定性分析方法,系统地研究了船舶参-强激励横摇动力学系统的周期与混沌运动表现.首先运用Poincaré定理讨论了系统模型的调和解分岔,给出了近似调和解;随后讨论了系统模型次调和解分岔,给出了相应的近似次调和解;最后运用Melnikov函数法讨论了系统的混沌运动表现.https://doi.org/10.3785/j.issn.1008-9497.2011.06.006非线性动力学方程调和解混沌
spellingShingle LULi-gang(鲁立刚)
YUANLin-zhong(袁林忠)
CHENBao-wei(陈宝薇)
Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
Zhejiang Daxue xuebao. Lixue ban
非线性动力学方程
调和解
混沌
title Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
title_full Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
title_fullStr Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
title_full_unstemmed Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
title_short Research on the model of ship parametrical-highly excitation nonlinear dynamics system(船舶参-强激励非线性动力学系统模型的研究)
title_sort research on the model of ship parametrical highly excitation nonlinear dynamics system 船舶参 强激励非线性动力学系统模型的研究
topic 非线性动力学方程
调和解
混沌
url https://doi.org/10.3785/j.issn.1008-9497.2011.06.006
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