Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent (Q1029395)
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scientific article; zbMATH DE number 5577427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent |
scientific article; zbMATH DE number 5577427 |
Statements
Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent (English)
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10 July 2009
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The formulation of the top Lyapunov exponent is proposed in detail for general \(n\)-dimensional stochastic non-smooth vibro-impact systems. The obtained results are used for a typical Duffing vibro-impact oscillator driven by additive harmonious force and Gaussian white noise. Phase portraits and bifurcation diagrams are also employed to verify the analytical results.
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stochastic non-smooth system
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Duffing vibro-impact oscillator
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top Lyapunov exponent
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bifurcation
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