Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System
By using Melnikov method,the necessary condition of the chaotic motion is established through the calculation of Melnikov function. Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diag...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Transmission
2015-01-01
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| Series: | Jixie chuandong |
| Online Access: | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.08.001 |
| _version_ | 1797819489813790720 |
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| author | He Shanghong Xie Jin Cheng Jiefeng Cui Qingyu |
| author_facet | He Shanghong Xie Jin Cheng Jiefeng Cui Qingyu |
| author_sort | He Shanghong |
| collection | DOAJ |
| description | By using Melnikov method,the necessary condition of the chaotic motion is established through the calculation of Melnikov function. Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diagram,time domain waveform,and maximum Lyapunov exponent. It is demonstrated that,by using the obtained results can provide a convenient means to design a nonlinear simple pendulum with periodic motion. |
| first_indexed | 2024-03-13T09:23:42Z |
| format | Article |
| id | doaj.art-e8920ce4614d474fae345345463f04b5 |
| institution | Directory Open Access Journal |
| issn | 1004-2539 |
| language | zho |
| last_indexed | 2024-03-13T09:23:42Z |
| publishDate | 2015-01-01 |
| publisher | Editorial Office of Journal of Mechanical Transmission |
| record_format | Article |
| series | Jixie chuandong |
| spelling | doaj.art-e8920ce4614d474fae345345463f04b52023-05-26T09:39:35ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392015-01-01391429918593Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum SystemHe ShanghongXie JinCheng JiefengCui QingyuBy using Melnikov method,the necessary condition of the chaotic motion is established through the calculation of Melnikov function. Furthermore,the edge of chaos of the dynamics system is obtained. The results are verified by the other methods of analysis chaos,such as bifurcation diagram,phase diagram,time domain waveform,and maximum Lyapunov exponent. It is demonstrated that,by using the obtained results can provide a convenient means to design a nonlinear simple pendulum with periodic motion.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.08.001 |
| spellingShingle | He Shanghong Xie Jin Cheng Jiefeng Cui Qingyu Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System Jixie chuandong |
| title | Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System |
| title_full | Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System |
| title_fullStr | Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System |
| title_full_unstemmed | Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System |
| title_short | Research of the Multi Parameter Edge of Chaos of Non- linear Simple Pendulum System |
| title_sort | research of the multi parameter edge of chaos of non linear simple pendulum system |
| url | http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2015.08.001 |
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