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

18 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

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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.",

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AU - Xu, Wei

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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

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

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