Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum
Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2020-06-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020080/ |
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| author | Qiuzhen WAN Zhaoteng ZHOU |
| author_facet | Qiuzhen WAN Zhaoteng ZHOU |
| author_sort | Qiuzhen WAN |
| collection | DOAJ |
| description | Based on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system. |
| format | Article |
| id | doaj-art-825cdc0c13d44f39b854a9b0564aecf3 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2020-06-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-825cdc0c13d44f39b854a9b0564aecf32025-01-14T07:19:12ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2020-06-014120221359735161Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrumQiuzhen WANZhaoteng ZHOUBased on the traditional Qi chaotic system,a novel unified chaotic system with the complex chaotic characteristics was constructed by adding the control parameters and modifying the nonlinear terms.Firstly,basic dynamical characteristics of chaotic system were analyzed,and phase portrait,time domain waveform diagram,Poincare mapping and power spectrum diagram were numerically simulated.Secondly,system parameters influence on chaotic system was discussed through Lyapunov exponent spectrum,bifurcation diagrams and chaotic signal amplitude.It was found that the unified chaotic system can generate the four new types of two-wing chaotic attractors with the multi-parameter invariable Lyapunov exponent spectrum characteristics.Meanwhile,there exist the functions of the global and local nonlinear amplitude modulation parameters.Thirdly,taking the first chaotic attractor of system as an example by introducing the two new types of nonlinear functions,the expansion of grid multi-wing attractor was realized.Finally,the hardware circuit of novel unified chaotic system was constructed.The four new types of chaotic attractors are observed experimentally,which is consistent with numerical simulation results and verified the feasibility of the proposed system.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020080/unified chaotic systeminvariable Lyapunov exponent spectrumchaotic attractor |
| spellingShingle | Qiuzhen WAN Zhaoteng ZHOU Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum Tongxin xuebao unified chaotic system invariable Lyapunov exponent spectrum chaotic attractor |
| title | Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum |
| title_full | Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum |
| title_fullStr | Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum |
| title_full_unstemmed | Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum |
| title_short | Novel unified chaotic system with multi-parameter invariable Lyapunov exponent spectrum |
| title_sort | novel unified chaotic system with multi parameter invariable lyapunov exponent spectrum |
| topic | unified chaotic system invariable Lyapunov exponent spectrum chaotic attractor |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020080/ |
| work_keys_str_mv | AT qiuzhenwan novelunifiedchaoticsystemwithmultiparameterinvariablelyapunovexponentspectrum AT zhaotengzhou novelunifiedchaoticsystemwithmultiparameterinvariablelyapunovexponentspectrum |