Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation

Wei Li; Peng Cheng Xu

doi:10.1007/s102550200052

Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation

Wei Li^*
, Peng Cheng Xu

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dynamics and bifurcation are established by using the averaging method and Melnikov method. Numerical simulations are also provided to demonstrate the theoretical analysis.

源语言	英语
页（从-至）	501-512
页数	12
期刊	Acta Mathematicae Applicatae Sinica
卷	18
期	3
DOI	https://doi.org/10.1007/s102550200052
出版状态	已出版 - 2002
已对外发布	是

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title = "Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation",

abstract = "In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dynamics and bifurcation are established by using the averaging method and Melnikov method. Numerical simulations are also provided to demonstrate the theoretical analysis.",

keywords = "Bifurcation, Chaos, Transversal homoclinic orbit",

author = "Wei Li and Xu, \{Peng Cheng\}",

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T1 - Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation

AU - Li, Wei

AU - Xu, Peng Cheng

PY - 2002

Y1 - 2002

N2 - In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dynamics and bifurcation are established by using the averaging method and Melnikov method. Numerical simulations are also provided to demonstrate the theoretical analysis.

AB - In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dynamics and bifurcation are established by using the averaging method and Melnikov method. Numerical simulations are also provided to demonstrate the theoretical analysis.

KW - Bifurcation

KW - Chaos

KW - Transversal homoclinic orbit

UR - https://www.scopus.com/pages/publications/33745828015

U2 - 10.1007/s102550200052

DO - 10.1007/s102550200052

M3 - Article

AN - SCOPUS:33745828015

SN - 0168-9673

VL - 18

SP - 501

EP - 512

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 3

ER -

Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation

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