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

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	577-586
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	213
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2009.03.051
State	Published - 15 Jul 2009

Keywords

Bifurcation
Duffing vibro-impact oscillator
Stochastic non-smooth system
Top Lyapunov exponent

Access to Document

10.1016/j.amc.2009.03.051

Cite this

@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 - http://www.scopus.com/inward/record.url?scp=67349118437&partnerID=8YFLogxK

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this