Vortices on a Pinched Sphere

• Autorzy: Arkadiusz Maciuk , Antoni Smoluk
• Języki publikacji: EN

Abstrakty

EN

The vortex motion is a sign of the desire to achieve balance. In the study, vortices described by complex numbers are moved from a sphere into a "squeezed" sphere - where the pair of opposite poles become one - called a pinched sphere or concave disk. Vortices on the pinched sphere reflect what is commonly observed in nature. A family of the pinched spheres very well represents the spatial vortices observed daily in gusts of wind. Stock market zigzags constitute an economic vortex - a spiral on the cone whose equivalent is the pinched sphere.(original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Mathematical Economics
• Rocznik: 2016
• Numer: nr 12 (19)
• Strony: 53--59

Twórcy

autor

Arkadiusz Maciuk

• Wrocław University of Economics, Poland

autor

Antoni Smoluk

• Wrocław University of Economics, Poland

Bibliografia

• Alobaidi G., Haslam M.C., Mallier R. (2006). Vortices on a sphere. Mathematical Modelling and Analysis 11(4), pp. 357-364.
• Boatto S., Koiller J. (2015). Vortices on closed surfaces. Geometry, Mechanics, and Dynam-ics. Springer New York, pp. 185-237.
• Eto M., Fujimori T., Isozumi Y., Nitta M., Ohashi K., Ohta K., Sakai N. (2006). Non-Abelian vortices on a cylinder: Duality between vortices and walls. Physical Review D. 73(8). 085008.
• Knio O.M., Ghoniem A.F. (1990). Numerical study of a three-dimensional vortex method. Journal of Computational Physics 86(1), pp. 75-106.
• Maciuk A., Smoluk A. (2015). Vortices and complex numbers. Mathematical Economics 11(18), pp. 69-76.

Identyfikatory

DOI

http://www.dbc.wroc.pl/publication/43623