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- W131924209 abstract "The consideration of some non-standard parametric Lagrangian leads to a fictitious dynamical system which turns out to be equivalent to the Euler problem for finding out all possible shapes of the lamina. Integrating the respective differential equations one arrives at novel explicit parameterizations of the Euler’s elastica curves. The geometry of the inflexional elastica and especially that of the figure “eight” shape is studied in some detail and the close relationship between the elastica problem and mathematical pendulum is outlined." @default.
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- W131924209 date "2012-01-01" @default.
- W131924209 modified "2023-09-25" @default.
- W131924209 title "Explicit Parameterization of Euler’s Elastica" @default.
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- W131924209 doi "https://doi.org/10.7546/giq-9-2008-175-186" @default.
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