84 citations · 1.3k across the 190 of their papers we have counts for
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Generalized Cornu-type spirals and their Darboux parametric deformations
H. C. Rosu, S. C. Mancas, C. C. Hsieh
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 inv…
Comment on Demystifying the constancy of the Ermakov-Lewis invariant for a time-dependent oscillator
A. Gallegos, H. C. Rosu
We show that a simple modification of the Lagrangian proposed by Padmanabhan in the paper [Mod. Phys. Lett. A 33, 1830005 (2018), arXiv:1712.07328] leads to the most general dynami…
Stability analysis of orbital modes for a generalized Lane-Emden equation
Ronald Adams, Stefan C. Mancas, Haret C. Rosu
We present a stability analysis of the standard nonautonomous systems type for a recently introduced generalized Lane-Emden equation which is shown to explain the presence of some…
Riccati parametric deformations of the Cornu spiral
H C Rosu, S C Mancas, E. Flores-Garduno
A parametric deformation of the Cornu spiral is introduced. The parameter is an integration constant which appears in the general solution of the Riccati equation related to the Fr…