Generalized Cornu-type spirals and their Darboux parametric deformations
classification
🧮 math-ph
math.MP
keywords
darbouxdeformationsparametricspiralspiralscaseclasscontains
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We generalize the Fresnel integrals and introduce a class of planar spirals F_n, which contains the Cornu spiral as the case F_2. Their Darboux parametric deformations are also investigated. The F_3 spiral and its Darboux deformed counterparts are illustrated
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