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Avoiding ergodicity and turbulence in R-3 vector fields

Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig and Gonzalez-Gascon, F. (2003) Avoiding ergodicity and turbulence in R-3 vector fields. Physics Letters A, 317 . pp. 242-251. ISSN 0375-9601

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Dynamical-systems; Strange attractors; Jerk functions; Chaotic flows; Eigenfunctions; Equations; Motion
Subjects:Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Algebraic geometry
ID Code:14720
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