Geodesic
On a certain feature of logarithmic spirals
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 82-92
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A curve formed by inversion of a logarithmic spiral is called a double logarithmic spiral. The curves in this family possess the following property: there always exists such a spiral with continuous and monotone curvature satisfying any possible boundary conditions (= end points, tangents, and curvatures). Thus, the problem of constructing a spiral with continuous curvature and prescribed curvature elements at the endpoints is solved. Bibl. – 6 titles. 
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A. I. Kurnosenko. On a certain feature of logarithmic spirals. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 82-92. http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a6/

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[3] A. I. Kurnosenko, “Dlinnye spirali”, Zap. nauchn. semin. POMI, 372, 2009, 44–52 | MR

[4] A. I. Kurnosenko, “Inversnyi invariant pary okruzhnostei”, Zap. nauchn. semin. POMI, 261, 1999, 167–186 | MR | Zbl

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