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- W2963923462 abstract "In this work we consider the Hide–Skeldon–Acheson dynamo modelx˙=x(y−1)−βz,y˙=α(1−x2)−κy,z˙=x−λz, where α, β, κ and λ are parameters. We contribute to the understanding of its global dynamics, or more precisely, to the topological structure of its orbits by studying the integrability problem. Provided α≠0 we identify the values of the parameters of this model, for which it admits a first integral. Also, as a corollary of our main results we get that for α,β,κ≠0 the dynamo model does not admit a polynomial, rational or Darboux first integral." @default.
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- W2963923462 date "2014-06-01" @default.
- W2963923462 modified "2023-10-03" @default.
- W2963923462 title "Integrability of the Hide–Skeldon–Acheson dynamo" @default.
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- W2963923462 doi "https://doi.org/10.1016/j.bulsci.2013.04.001" @default.
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