A novel chaotic system in the spherical coordinates
Investigating new chaotic flows has been a hot topic for many years. Studying the chaotic attractors of systems with various properties illuminates a lamp to reveal the vague of the generation of chaotic attractors. A new chaotic system in the spherical coordinates is proposed in this paper. The sys...
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2020
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| Online Access: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/399 https://doi.org/10.1140/epjst/e2020-900246-1 |
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oai:localhost:PNK-3992022-08-17T05:54:37Z A novel chaotic system in the spherical coordinates Lianyu, Chen Esteban Tlelo-Cuautle Ibrahim Ismael Hamarash Viet-Thanh Pham Hamid Reza Abdolmohammadi Investigating new chaotic flows has been a hot topic for many years. Studying the chaotic attractors of systems with various properties illuminates a lamp to reveal the vague of the generation of chaotic attractors. A new chaotic system in the spherical coordinates is proposed in this paper. The system’s solution is inside a predefined sphere, and its attractor cannot cross the sphere. Investigation of equilibrium points of the system shows that the system has eight equilibria, and all of them are saddle. Bifurcation analysis of the system depicts the period-doubling route to chaos with changing the bifurcation parameter. Also, Lyapunov exponents in the studied interval of the bifurcation parameter are discussed. The basin of attraction of the system is investigated to show the sensitivity of the system to initial conditions. 2020-06-18T03:27:31Z 2020-06-18T03:27:31Z 2020 Article Working Paper https://dlib.phenikaa-uni.edu.vn/handle/PNK/399 https://doi.org/10.1140/epjst/e2020-900246-1 en application/pdf Springer Link |
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Digital Phenikaa |
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Digital Phenikaa |
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English |
| description |
Investigating new chaotic flows has been a hot topic for many years. Studying the chaotic attractors of systems with various properties illuminates a lamp to reveal the vague of the generation of chaotic attractors. A new chaotic system in the spherical coordinates is proposed in this paper. The system’s solution is inside a predefined sphere, and its attractor cannot cross the sphere. Investigation of equilibrium points of the system shows that the system has eight equilibria, and all of them are saddle. Bifurcation analysis of the system depicts the period-doubling route to chaos with changing the bifurcation parameter. Also, Lyapunov exponents in the studied interval of the bifurcation parameter are discussed. The basin of attraction of the system is investigated to show the sensitivity of the system to initial conditions. |
| format |
Article |
| author |
Lianyu, Chen Esteban Tlelo-Cuautle Ibrahim Ismael Hamarash Viet-Thanh Pham Hamid Reza Abdolmohammadi |
| spellingShingle |
Lianyu, Chen Esteban Tlelo-Cuautle Ibrahim Ismael Hamarash Viet-Thanh Pham Hamid Reza Abdolmohammadi A novel chaotic system in the spherical coordinates |
| author_facet |
Lianyu, Chen Esteban Tlelo-Cuautle Ibrahim Ismael Hamarash Viet-Thanh Pham Hamid Reza Abdolmohammadi |
| author_sort |
Lianyu, Chen |
| title |
A novel chaotic system in the spherical coordinates |
| title_short |
A novel chaotic system in the spherical coordinates |
| title_full |
A novel chaotic system in the spherical coordinates |
| title_fullStr |
A novel chaotic system in the spherical coordinates |
| title_full_unstemmed |
A novel chaotic system in the spherical coordinates |
| title_sort |
novel chaotic system in the spherical coordinates |
| publisher |
Springer Link |
| publishDate |
2020 |
| url |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/399 https://doi.org/10.1140/epjst/e2020-900246-1 |
| _version_ |
1751856307753713664 |
| score |
8.881002 |