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On the stability of the equilibria of the Rikitake system |
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| Authors: | Denis de Carvalho Braga |
| Institution: | a Campus Avançado de Itabira, Universidade Federal de Itajubá, Rua São Paulo 377, Bairro Amazonas, CEP 35.900-373, Itabira, MG, Brazil b Instituto de Ciências Exatas, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil |
| Abstract: | In this note we present an analytical study of the stability of the equilibria of the Rikitake system. We prove that the two non-hyperbolic equilibria of the Rikitake system are unstable for all positive values of the parameters. |
| Keywords: | Rikitake system Stability Lyapunov coefficient |
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