A method to recognize polarization constellations is proposed. Described method is based on analysis of torsion and curvature of three-dimensional curve. The three-dimensional curve is defined by states of polarization on the Poincare sphere. Key-Words: Fiber optics; Polarization light; Birefringence; Poincare sphere; Space curve; Frenet frame

in this paper, we prove that every metric line in the poincare ball model of hyperbolic geometry is exactly a classical line of itself. we also proved nonexistence of periodic lines in the poincare ball model of hyperbolic geometry.

We apply the Lindstedt method to the one dimensional Fermi-Pasta-Ulam β lattice to find fully general solutions to the complete set of equations of motion. The pertubative scheme employed uses ǫ as the expansion parameter, where ǫ is the coefficient of the quartic coupling between nearest neighbors. We compare our non-secular perturbative solutions to numerical solutions and find striking agree...

This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The derivation is accomplished using Lindstedt s perturbation method. 2005 Elsevier B.V. All rights reserved. PACS: 02.30.Ks; 02.30.Oz

by a gas-liquid chromatographic method. J. Lab. Clin. Med., 74:185, 1969. 22. Kang, E. S., and Gerald, P. S. : Hereditary tyrosinemia and abnormal pvrrole metabolism. J. Pediat., 77:397, 1970. 23. Gentz, J., Johansson, S., Lindblad, B., Lindstedt, S., and Zetterstr#{246}m, R. : Excretion of daminolevulinic acid in hereditary tyrosinemia. Clin. Chim. Acta, 23:257, 1969. 24. Fellman, J. H., Vanbe...