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EXAMPLES OF SINGULAR POINTS

EXAMPLES OF SINGULAR POINTS
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The generalized center problem of degenerate resonant singular point [PDF]

Bulletin Des Sciences Mathematiques, 2009
In this paper, generalized center condition and integrability of degenerate resonant singular point for a class of complex polynomial differential system were studied. The method was based on a homeomorphic transformation of the degenerate singular point
Yirong Liu
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Detection of Singular Points

Canadian Mathematical Bulletin, 1982
AbstractA theorem is proved which gives a new test for singular points on the circle of convergence of the function f(z) defined by a power series ∑anzn finite non-zero radius of convergence.
Cowling, V. F., King, J. P.
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Generalized singular point quantity and integrability of degenerate resonant singular point

Applied Mathematics and Computation, 2009
The authors study integrability and generalized complex resonant center conditions of a singular point for the complex differential system \[ \frac{dz}{dT} = pz^{n+1}w^n + \!\! \sum_{\alpha+\beta=2n+2}^{\infty} \!\! a_{\alpha\beta} z^{\alpha}w^{\beta}, \quad \;\frac{dw}{dT} = -qw^{n+1}z^n - \!\! \sum_{\alpha+\beta=2n+2}^{\infty} \!\! b_{\alpha\beta} w^{
Qi Zhang 0052, Yirong Liu, Weihua Gui 0001   +2 more
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Nilpotent singular points and compactons

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiyong Chen, Wentao Huang, Yongan Xie
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Singular points of the polarization tensor

Solar Physics, 1996
The problem to compute the magnetic field above the chromosphere using data of the vector τ = B t /B t that gives the projected field direction can be solved with different approximations. The field of direction vectors τ is, however, not the only field accessible to observations. The Stokes parameters, which are components of the radiation tensor, can
M. M. Molodensky, L. I. Starkova
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Regular singular points as isomonodromic confluences of Fuchsian singular points

Russian Mathematical Surveys, 2001
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Newton’s Method at Singular Points. II

SIAM Journal on Numerical Analysis, 1980
A theorem due to Reddien giving sufficient conditions for convergence of Newton iterates for singular problems is extended.
Decker, D. W., Kelley, C. T.
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Point Counting on Singular Hypersurfaces

2008
Let q = p r be a prime power. Let Open image in new window be a homogenous polynomial of degree d. Let Open image in new window be the hypersurface defined by Open image in new window . A natural question to ask is how to determine Open image in new window .
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