Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations
The chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discuss...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/131637 |
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| _version_ | 1832563978570563584 |
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| author | Liangqiang Zhou Fangqi Chen |
| author_facet | Liangqiang Zhou Fangqi Chen |
| author_sort | Liangqiang Zhou |
| collection | DOAJ |
| description | The chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. Some new dynamical phenomena including the controllable frequency are presented for this system. Numerical results are given, which verify the analytical ones. |
| format | Article |
| id | doaj-art-3288411b62134def8ae57fc48c6eb1ff |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-3288411b62134def8ae57fc48c6eb1ff2025-02-03T01:12:08ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/131637131637Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric ExcitationsLiangqiang Zhou0Fangqi Chen1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaDepartment of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThe chaotic motions of the Duffing-Van der Pol oscillator with external and parametric excitations are investigated both analytically and numerically in this paper. The critical curves separating the chaotic and nonchaotic regions are obtained. The chaotic feature on the system parameters is discussed in detail. Some new dynamical phenomena including the controllable frequency are presented for this system. Numerical results are given, which verify the analytical ones.http://dx.doi.org/10.1155/2014/131637 |
| spellingShingle | Liangqiang Zhou Fangqi Chen Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations Shock and Vibration |
| title | Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations |
| title_full | Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations |
| title_fullStr | Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations |
| title_full_unstemmed | Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations |
| title_short | Chaotic Motions of the Duffing-Van der Pol Oscillator with External and Parametric Excitations |
| title_sort | chaotic motions of the duffing van der pol oscillator with external and parametric excitations |
| url | http://dx.doi.org/10.1155/2014/131637 |
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