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Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations |
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| Authors: | Jinqian Feng Wei Xu Rui Wang |
| Institution: | a Department of Applied Mathematics, Northwestern Polytechnical University, Xian 710072, PR China b Department of Mathematics, Foshan University, Guangdong 528000, PR China c Department of Mathematics, Shaan’xi Normal University, Xi’an 710062, PR China |
| Abstract: | The paper is devoted to an averaging approach to study the responses of Duffing-Van der Pol vibro-impact system excited by additive and multiplicative Gaussian noises. The response probability density functions (PDFs) are formulated analytically by the stochastic averaging method. Meanwhile, the results are validated numerically. In addition, stochastic bifurcations are also explored. |
| Keywords: | Vibro-impact system Stationary PDFs Stochastic bifurcation Stochastic averaging |
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