On the Homoclinic Orbits of the Lü System
In this paper, the existence of homoclinic orbits of the equilibrium point (0, 0, 0) is demonstrated in the case of the Lu ̈ system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2017 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:182531 |
| Online Access: | https://ddd.uab.cat/record/182531 https://dx.doi.org/urn:doi:10.1142/S0218127417500705 |
| Access Level: | Open access |
| Keyword: | Bifurcation Chaotic Homoclinic orbit Lü system |
| Summary: | In this paper, the existence of homoclinic orbits of the equilibrium point (0, 0, 0) is demonstrated in the case of the Lu ̈ system for parameter values not reported by G. A. Leonov. In addition, some simulations are shown that agree with our theoretical analysis. |
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