Autor(en)
Kumar, Rohit; Wahi, Pankaj
Titel
Dynamo transition in a five-mode helical model
Teil von
  • Physics of plasmas, 2017-09, Vol.24 (9), p.92305
Ort / Verlag
MELVILLE: AIP Publishing
Links zum Volltext
Quelle
Scopus
Beschreibungen
We construct a five-mode helical dynamo model containing three velocity and two magnetic modes and solve it analytically. This model exhibits dynamo transition via supercritical pitchfork bifurcation. We show that the critical magnetic Reynolds number for dynamo transition (Rmc) asymptotes to constant values for very low and very high magnetic Prandtl numbers (Pm). Beyond dynamo transition, secondary bifurcations lead to periodic, quasi-periodic, and chaotic dynamo states as the forcing amplitude is increased and chaos appears through a quasi-periodic route.
Format
Sprache(n)
Englisch
Identifikator(en)
ISSN: 1070-664X
ISSN: 1089-7674
DOI: 10.1063/1.4998472

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