Propagations from a space curve in three space with indicatrix a surface
Journal of Singularities, Tome 6 (2012), pp. 131-145
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Generic singularities of rays emanating from a space curve in R^3 in all directions with the rate determined by an indicatrix (independent of the point in R^3) defined by a surface are classified. Similarly rays emanating from surface defined by an indicatrix given by a curve are also considered. Some applications to control theory are indicated.
@article{10_5427_jsing_2012_6k,
author = {Graham M. Reeve and Vladimir M. Zakalyukin},
title = {Propagations from a space curve in three space with indicatrix a surface},
journal = {Journal of Singularities},
pages = {131--145},
publisher = {mathdoc},
volume = {6},
year = {2012},
doi = {10.5427/jsing.2012.6k},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6k/}
}
TY - JOUR AU - Graham M. Reeve AU - Vladimir M. Zakalyukin TI - Propagations from a space curve in three space with indicatrix a surface JO - Journal of Singularities PY - 2012 SP - 131 EP - 145 VL - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6k/ DO - 10.5427/jsing.2012.6k ID - 10_5427_jsing_2012_6k ER -
%0 Journal Article %A Graham M. Reeve %A Vladimir M. Zakalyukin %T Propagations from a space curve in three space with indicatrix a surface %J Journal of Singularities %D 2012 %P 131-145 %V 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6k/ %R 10.5427/jsing.2012.6k %F 10_5427_jsing_2012_6k
Graham M. Reeve; Vladimir M. Zakalyukin. Propagations from a space curve in three space with indicatrix a surface. Journal of Singularities, Tome 6 (2012), pp. 131-145. doi: 10.5427/jsing.2012.6k
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