Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent

Jinqian Feng; Wei Xu

doi:10.1016/j.amc.2009.03.051

Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent

Jinqian Feng
, Wei Xu

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 期刊稿件 › 文章 › 同行评审

21 引用（Scopus）

摘要

Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is proposed for non-linear vibro-impact oscillators with Gaussian white noise perturbation. The analytical results are verified by phase portraits and bifurcation diagrams for a classical stochastic Duffing vibro-impact oscillator. Both results are consistent.

源语言	英语
页（从-至）	577-586
页数	10
期刊	Applied Mathematics and Computation
卷	213
期	2
DOI	https://doi.org/10.1016/j.amc.2009.03.051
出版状态	已出版 - 15 7月 2009

访问文件

10.1016/j.amc.2009.03.051

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{c01cb03fb8864398879c47f6e18f1a30,

title = "Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent",

abstract = "Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is proposed for non-linear vibro-impact oscillators with Gaussian white noise perturbation. The analytical results are verified by phase portraits and bifurcation diagrams for a classical stochastic Duffing vibro-impact oscillator. Both results are consistent.",

keywords = "Bifurcation, Duffing vibro-impact oscillator, Stochastic non-smooth system, Top Lyapunov exponent",

author = "Jinqian Feng and Wei Xu",

year = "2009",

month = jul,

day = "15",

doi = "10.1016/j.amc.2009.03.051",

language = "英语",

volume = "213",

pages = "577--586",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent

AU - Feng, Jinqian

AU - Xu, Wei

PY - 2009/7/15

Y1 - 2009/7/15

N2 - Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is proposed for non-linear vibro-impact oscillators with Gaussian white noise perturbation. The analytical results are verified by phase portraits and bifurcation diagrams for a classical stochastic Duffing vibro-impact oscillator. Both results are consistent.

AB - Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is proposed for non-linear vibro-impact oscillators with Gaussian white noise perturbation. The analytical results are verified by phase portraits and bifurcation diagrams for a classical stochastic Duffing vibro-impact oscillator. Both results are consistent.

KW - Bifurcation

KW - Duffing vibro-impact oscillator

KW - Stochastic non-smooth system

KW - Top Lyapunov exponent

UR - https://www.scopus.com/pages/publications/67349118437

U2 - 10.1016/j.amc.2009.03.051

DO - 10.1016/j.amc.2009.03.051

M3 - 文章

AN - SCOPUS:67349118437

SN - 0096-3003

VL - 213

SP - 577

EP - 586

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent

摘要

访问文件

其它文件与链接

指纹

引用此