4 citations · 6 across the 32 of their papers we have counts for
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Lyapunov spectra in fast dynamo Ricci flows of negative sectional curvature
Garcia de Andrade
Previously Chicone, Latushkin and Montgomery-Smith [\textbf{Comm. Math. Phys. \textbf{173},(1995)}] have investigated the spectrum of the dynamo operator for an ideally conducting…
Geodesic dynamo chaotic flows and non-Anosov maps in twisted magnetic flux tubes
Garcia de Andrade
Recently Tang and Boozer [{\textbf{Phys. Plasmas (2000)}}], have investigated the anisotropies in magnetic field dynamo evolution, from local Lyapunov exponents, giving rise to a m…
Stretch-Twist torus dynamo in compact Riemannian manifolds
Garcia de Andrade
Earlier Arnold, Zeldovich, Ruzmaikin and Sokoloff [\textbf{JETP (1982)}] have computed the eigenvalue of a uniform stretching torus transformation which result on the first Riemann…
Conformal maps in periodic flows and in suppression of stretch-twist and fold on Riemannian manifolds
Garcia de Andrade
Examples of conformal dynamo maps have been presented earlier [Phys Plasmas \textbf{14}(2007)] where fast dynamos in twisted magnetic flux tubes in Riemannian manifolds were obtain…
The role of curvature and stretching in dynamo plasmas
Garcia de Andrade
Vishik's antidynamo theorem is applied to non-stretched twisted magnetic flux tube in Riemannian space. Marginal or slow dynamos along curved (folded), torsioned (twisted) and non-…
Stretch fast dynamo mechanism via conformal mapping in Riemannian manifolds
Garcia de Andrade
Two new analytical solutions of self-induction equation, in Riemannian manifolds are presented. The first represents a twisted magnetic flux tube or flux rope in plasma astrophysic…