Hopf bifurcation of nonlinear system with multisource stochastic factors
The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter. Firstly, the nonlinear system with multisource stochastic factors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Theoretical and Applied Mechanics Letters |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034922000976 |
| _version_ | 1797857722762264576 |
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| author | Xinyu Bai Shaojuan Ma Qianling Zhang Qiyi Liu |
| author_facet | Xinyu Bai Shaojuan Ma Qianling Zhang Qiyi Liu |
| author_sort | Xinyu Bai |
| collection | DOAJ |
| description | The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter. Firstly, the nonlinear system with multisource stochastic factors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposition method and the Karhunen–Loeve (K-L) decomposition theory. Secondly, the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained. At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored. Finally, the theorical results are verified by the numerical simulations. |
| first_indexed | 2024-04-09T21:01:23Z |
| format | Article |
| id | doaj.art-f4994fe41e2f404c9cdf02e3c919bd57 |
| institution | Directory Open Access Journal |
| issn | 2095-0349 |
| language | English |
| last_indexed | 2024-04-09T21:01:23Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj.art-f4994fe41e2f404c9cdf02e3c919bd572023-03-29T09:25:59ZengElsevierTheoretical and Applied Mechanics Letters2095-03492023-03-01132100417Hopf bifurcation of nonlinear system with multisource stochastic factorsXinyu Bai0Shaojuan Ma1Qianling Zhang2Qiyi Liu3School of Mathematics and Information Science, North Minzu University, YinChuan, NingXia 750021, ChinaCorresponding author.; School of Mathematics and Information Science, North Minzu University, YinChuan, NingXia 750021, ChinaSchool of Mathematics and Information Science, North Minzu University, YinChuan, NingXia 750021, ChinaSchool of Mathematics and Information Science, North Minzu University, YinChuan, NingXia 750021, ChinaThe article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter. Firstly, the nonlinear system with multisource stochastic factors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposition method and the Karhunen–Loeve (K-L) decomposition theory. Secondly, the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained. At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored. Finally, the theorical results are verified by the numerical simulations.http://www.sciencedirect.com/science/article/pii/S2095034922000976Multisource stochastic factorsGaussian white noiseK-L decompositionHopf bifurcationRandom parameter |
| spellingShingle | Xinyu Bai Shaojuan Ma Qianling Zhang Qiyi Liu Hopf bifurcation of nonlinear system with multisource stochastic factors Theoretical and Applied Mechanics Letters Multisource stochastic factors Gaussian white noise K-L decomposition Hopf bifurcation Random parameter |
| title | Hopf bifurcation of nonlinear system with multisource stochastic factors |
| title_full | Hopf bifurcation of nonlinear system with multisource stochastic factors |
| title_fullStr | Hopf bifurcation of nonlinear system with multisource stochastic factors |
| title_full_unstemmed | Hopf bifurcation of nonlinear system with multisource stochastic factors |
| title_short | Hopf bifurcation of nonlinear system with multisource stochastic factors |
| title_sort | hopf bifurcation of nonlinear system with multisource stochastic factors |
| topic | Multisource stochastic factors Gaussian white noise K-L decomposition Hopf bifurcation Random parameter |
| url | http://www.sciencedirect.com/science/article/pii/S2095034922000976 |
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