Hopf Bifurcation of a generalized Moon-Rand system
We study the Hopf bifurcation from the equilibrium point at the origin of a generalized Moon-Rand system. We prove that the Hopf bifurcation can produce 8 limit cycles. The main tool for proving these results is the averaging theory of fourth order. The computations are not difficult, but very big a...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:145339 |
| Online Access: | https://ddd.uab.cat/record/145339 https://dx.doi.org/urn:doi:10.1016/j.cnsns.2014.06.041 |
| Access Level: | Open access |
| Keyword: | Averaging theory Hopf bifurcation Moon-Rand systems |
| Summary: | We study the Hopf bifurcation from the equilibrium point at the origin of a generalized Moon-Rand system. We prove that the Hopf bifurcation can produce 8 limit cycles. The main tool for proving these results is the averaging theory of fourth order. The computations are not difficult, but very big and have been done with the help of Mathematica and Mapple. |
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