A two-stage Newton-like method for computing simple bifurcation points of nonlinear equations depending on two parameters
Gerd Pönisch (1990)
Banach Center Publications
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Displaying similar documents to “Chord Techniques and Newton's Method for Discrete Bifurcation Problems.”
A two-stage Newton-like method for computing simple bifurcation points of nonlinear equations depending on two parameters
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Elgindi, M.B.M. (1994)
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We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a mapping subject to a new Newton non-degeneracy condition.
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O.H. Hald (1974/75)
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A.A. GOLDSTEIN (1965)
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L.B. RALL, P.M. ANSELONE (1968)
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R.B. GUENTHER, E.L. ROETMAN (1970)
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J.E. jr. DENNIS (1968)
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Krzysztof Barański (2001)
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This is a continuation of the work [Ba] dealing with the family of all cubic rational maps with two supersinks. We prove the existence of the following parabolic bifurcation of Mandelbrot-like sets in the parameter space of this family. Starting from a Mandelbrot-like set in cubic Newton maps and changing parameters in a continuous way, we construct a path of Mandelbrot-like sets ending in the family of parabolic maps with a fixed point of multiplier 1. Then it bifurcates into two paths...
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J.W. Schmidt, W. Hoyer, Ch. Haufe (1985)
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R.E. Bank, D.J. Rose (1981)
Numerische Mathematik
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