Analysis of bifurcations for non-linear stochastic non-smooth vibro-impact system via top Lyapunov exponent |
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Authors: | Jinqian Feng Wei Xu |
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Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, 127 West Youyi Road, Xian 710072, PR China |
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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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Keywords: | Stochastic non-smooth system Duffing vibro-impact oscillator Top Lyapunov exponent Bifurcation |
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