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Avoiding ergodicity and turbulence in R-3 vector fields

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2003
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Elsevier
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We show that analytic R-3 vector fields having the property of being transversal to either analytic functions or foliations F-2, or parallel. to a foliation, are free from ergodicity and turbulence. The absence of turbulence and ergodicity via induced vector fields is also proven.
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