Generalized Cornu-type spirals and their Darboux parametric deformations

Haret C. Rosu; S. C. Mancas; Chun-Chung Hsieh; Stefani Mancas

doi:10.1016/j.physleta.2019.05.040

Generalized Cornu-type spirals and their Darboux parametric deformations

Haret C. Rosu, S. C. Mancas, Chun-Chung Hsieh, Stefani Mancas

Research output: Contribution to journal › Article › peer-review

Abstract

 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 some of its Darboux deformed counterparts are graphically illustrated.

Original language	American English
Journal	Physics Letters A
Volume	383
DOIs	https://doi.org/10.1016/j.physleta.2019.05.040
State	Published - Aug 12 2019

Keywords

Darboux
Riccati
Cornu

Disciplines

Engineering
Automotive Engineering
Civil and Environmental Engineering
Physical Sciences and Mathematics
Applied Mathematics
Physics

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Cite this

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title = "Generalized Cornu-type spirals and their Darboux parametric deformations",

abstract = " 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 some of its Darboux deformed counterparts are graphically illustrated.",

keywords = "Darboux, Riccati, Cornu",

author = "Rosu, {Haret C.} and Mancas, {S. C.} and Chun-Chung Hsieh and Stefani Mancas",

year = "2019",

month = aug,

day = "12",

doi = "10.1016/j.physleta.2019.05.040",

language = "American English",

volume = "383",

journal = "Physics Letters A",

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TY - JOUR

T1 - Generalized Cornu-type spirals and their Darboux parametric deformations

AU - Rosu, Haret C.

AU - Mancas, S. C.

AU - Hsieh, Chun-Chung

AU - Mancas, Stefani

PY - 2019/8/12

Y1 - 2019/8/12

N2 - 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 some of its Darboux deformed counterparts are graphically illustrated.

AB - 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 some of its Darboux deformed counterparts are graphically illustrated.

KW - Darboux

KW - Riccati

KW - Cornu

UR - https://www.sciencedirect.com/science/article/abs/pii/S0375960119304773?via%3Dihub

U2 - 10.1016/j.physleta.2019.05.040

DO - 10.1016/j.physleta.2019.05.040

M3 - Article

SN - 1873-2429

VL - 383

JO - Physics Letters A

JF - Physics Letters A

ER -

Generalized Cornu-type spirals and their Darboux parametric deformations

Abstract

Keywords

Disciplines

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