Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors
Chaotic attractors with no equilibria, with an unstable node, and with stable node-focus are presented in this paper. The conservative solutions are investigated by the semianalytical and seminumerical method. Furthermore, multiple coexisting attractors are investigated, and circuit is carried out....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9948488 |
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| _version_ | 1850234284511592448 |
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| author | Mingshu Chen Zhen Wang Xiaojuan Zhang Huaigu Tian |
| author_facet | Mingshu Chen Zhen Wang Xiaojuan Zhang Huaigu Tian |
| author_sort | Mingshu Chen |
| collection | DOAJ |
| description | Chaotic attractors with no equilibria, with an unstable node, and with stable node-focus are presented in this paper. The conservative solutions are investigated by the semianalytical and seminumerical method. Furthermore, multiple coexisting attractors are investigated, and circuit is carried out. To study the system’s global structure, dynamics at infinity for this new chaotic system are studied using Poincaré compactification of polynomial vector fields in R3. Meanwhile, the dynamics near the infinity of the singularities are obtained by reducing the system’s dimensions on a Poincaré ball. The averaging theory analyzes the periodic solution’s stability or instability that bifurcates from Hopf-zero bifurcation. |
| format | Article |
| id | doaj-art-15cbd1e088084ca0a105c69b2b0b19a8 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-15cbd1e088084ca0a105c69b2b0b19a82025-08-20T02:02:40ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/99484889948488Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting AttractorsMingshu Chen0Zhen Wang1Xiaojuan Zhang2Huaigu Tian3Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, Xi’an 710123, ChinaShaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, Xi’an 710123, ChinaShaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, Xi’an 710123, ChinaShaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, Xi’an 710123, ChinaChaotic attractors with no equilibria, with an unstable node, and with stable node-focus are presented in this paper. The conservative solutions are investigated by the semianalytical and seminumerical method. Furthermore, multiple coexisting attractors are investigated, and circuit is carried out. To study the system’s global structure, dynamics at infinity for this new chaotic system are studied using Poincaré compactification of polynomial vector fields in R3. Meanwhile, the dynamics near the infinity of the singularities are obtained by reducing the system’s dimensions on a Poincaré ball. The averaging theory analyzes the periodic solution’s stability or instability that bifurcates from Hopf-zero bifurcation.http://dx.doi.org/10.1155/2021/9948488 |
| spellingShingle | Mingshu Chen Zhen Wang Xiaojuan Zhang Huaigu Tian Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors Complexity |
| title | Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors |
| title_full | Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors |
| title_fullStr | Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors |
| title_full_unstemmed | Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors |
| title_short | Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors |
| title_sort | dynamical analysis and periodic solution of a chaotic system with coexisting attractors |
| url | http://dx.doi.org/10.1155/2021/9948488 |
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