Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term
In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be created by the collapse of asymmetric singularly...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-06-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2025-0165 |
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| _version_ | 1850214008853889024 |
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| author | Pan Jun Wang Haijun Ke Guiyao Hu Feiyu |
| author_facet | Pan Jun Wang Haijun Ke Guiyao Hu Feiyu |
| author_sort | Pan Jun |
| collection | DOAJ |
| description | In light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be created by the collapse of asymmetric singularly degenerate heteroclinic cycles. Moreover, we prove the existence of a single heteroclinic orbit to the origin and the nontrivial equilibrium point. Besides, numerical simulations also verify the theoretical analysis. |
| format | Article |
| id | doaj-art-775988e3d19f4e87916fa36e247a102e |
| institution | OA Journals |
| issn | 2391-5471 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj-art-775988e3d19f4e87916fa36e247a102e2025-08-20T02:09:00ZengDe GruyterOpen Physics2391-54712025-06-01231325810.1515/phys-2025-0165Creation of single-wing Lorenz-like attractors via a ten-ninths-degree termPan Jun0Wang Haijun1Ke Guiyao2Hu Feiyu3Department of Big Data Science, School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, P.R. ChinaSchool of Electronic and Information Engineering (School of Big Data Science), Taizhou University, Taizhou, 318000, P.R. ChinaSchool of Information, Zhejiang Guangsha Vocational and Technical University of Construction, Dongyang, Zhejiang, 322100, P.R. ChinaCollege of Sustainability and Tourism, Ritsumeikan Asia Pacific University, Beppu, 874-8577, JapanIn light of the subtle connection between the strange attractors and the degree of dynamical systems, in this study, we propose a new simple asymmetric Lorenz-like system and report the finding of single-wing Lorenz-like attractors, which can also be created by the collapse of asymmetric singularly degenerate heteroclinic cycles. Moreover, we prove the existence of a single heteroclinic orbit to the origin and the nontrivial equilibrium point. Besides, numerical simulations also verify the theoretical analysis.https://doi.org/10.1515/phys-2025-0165heteroclinic orbitgeneralization of the second part of hilbert’s 16th problemlyapunov functionsingle-wing attractorasymmetric singularly degenerate heteroclinic cycle |
| spellingShingle | Pan Jun Wang Haijun Ke Guiyao Hu Feiyu Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term Open Physics heteroclinic orbit generalization of the second part of hilbert’s 16th problem lyapunov function single-wing attractor asymmetric singularly degenerate heteroclinic cycle |
| title | Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term |
| title_full | Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term |
| title_fullStr | Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term |
| title_full_unstemmed | Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term |
| title_short | Creation of single-wing Lorenz-like attractors via a ten-ninths-degree term |
| title_sort | creation of single wing lorenz like attractors via a ten ninths degree term |
| topic | heteroclinic orbit generalization of the second part of hilbert’s 16th problem lyapunov function single-wing attractor asymmetric singularly degenerate heteroclinic cycle |
| url | https://doi.org/10.1515/phys-2025-0165 |
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