Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system
Due to the dynamic characteristics of the Lorenz system, multi-wing chaotic systems are still confined in the positive half-space and fail to break the threshold limit. In this paper, a new approach for generating complex grid multi-wing attractors that can break the threshold limit via a novel nonl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2014-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13686 |
| _version_ | 1818385206281764864 |
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| author | Xiaowen Luo Chunhua Wang Zhao Wan |
| author_facet | Xiaowen Luo Chunhua Wang Zhao Wan |
| author_sort | Xiaowen Luo |
| collection | DOAJ |
| description | Due to the dynamic characteristics of the Lorenz system, multi-wing chaotic systems are still confined in the positive half-space and fail to break the threshold limit. In this paper, a new approach for generating complex grid multi-wing attractors that can break the threshold limit via a novel nonlinear modulating function is proposed from the firstly proposed double-wing chaotic system. The proposed method is different from that of classical multi-scroll chaotic attractors generated by odd-symmetric multi-segment linear functions from Chua system. The new system is autonomous and can generate various grid multi-wing butterfly chaotic attractors without requiring any external forcing, it also can produce grid multi-wing both on the xz-plane and yz-plane. Basic properties of the new system such as dissipation property, equilibrium, stability, the Lyapunov exponent spectrum and bifurcation diagram are introduced by numerical simulation, theoretical analysis and circuit experiment, which confirm that the multi-wing attractors chaotic system has more rich and complicated chaotic dynamics. Finally, a novel module-based unified circuit is designed which provides some principles and guidelines for future circuitry design and engineering application. The circuit experimental results are consistent with the numerical simulation results. |
| first_indexed | 2024-12-14T03:34:28Z |
| format | Article |
| id | doaj.art-dca9273771544db69ab4c70a6c5e605a |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-14T03:34:28Z |
| publishDate | 2014-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-dca9273771544db69ab4c70a6c5e605a2022-12-21T23:18:40ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-04-0119210.15388/NA.2014.2.9Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous systemXiaowen Luo0Chunhua Wang1Zhao Wan2Hunan University, ChinaHunan University, ChinaHunan University, ChinaDue to the dynamic characteristics of the Lorenz system, multi-wing chaotic systems are still confined in the positive half-space and fail to break the threshold limit. In this paper, a new approach for generating complex grid multi-wing attractors that can break the threshold limit via a novel nonlinear modulating function is proposed from the firstly proposed double-wing chaotic system. The proposed method is different from that of classical multi-scroll chaotic attractors generated by odd-symmetric multi-segment linear functions from Chua system. The new system is autonomous and can generate various grid multi-wing butterfly chaotic attractors without requiring any external forcing, it also can produce grid multi-wing both on the xz-plane and yz-plane. Basic properties of the new system such as dissipation property, equilibrium, stability, the Lyapunov exponent spectrum and bifurcation diagram are introduced by numerical simulation, theoretical analysis and circuit experiment, which confirm that the multi-wing attractors chaotic system has more rich and complicated chaotic dynamics. Finally, a novel module-based unified circuit is designed which provides some principles and guidelines for future circuitry design and engineering application. The circuit experimental results are consistent with the numerical simulation results.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13686a new 3-D chaotic systemLyapunov exponentnonlinear functionsgrid multi-wing butterfly attractors |
| spellingShingle | Xiaowen Luo Chunhua Wang Zhao Wan Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system Nonlinear Analysis a new 3-D chaotic system Lyapunov exponent nonlinear functions grid multi-wing butterfly attractors |
| title | Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system |
| title_full | Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system |
| title_fullStr | Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system |
| title_full_unstemmed | Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system |
| title_short | Grid multi-wing butterfly chaotic attractors generated from a new 3-D quadratic autonomous system |
| title_sort | grid multi wing butterfly chaotic attractors generated from a new 3 d quadratic autonomous system |
| topic | a new 3-D chaotic system Lyapunov exponent nonlinear functions grid multi-wing butterfly attractors |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13686 |
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