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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Gerd Pönisch (1990)
Banach Center Publications
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Elgindi, M.B.M. (1994)
International Journal of Mathematics and Mathematical Sciences
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E. Bohl (1980)
Numerische Mathematik
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Elgindi, M.B.M., Langer, R.W. (1995)
International Journal of Mathematics and Mathematical Sciences
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Sahari, M.L., Djellit, I. (2006)
Discrete Dynamics in Nature and Society
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Ying Chen, Luis Renato G. Dias, Kiyoshi Takeuchi, Mihai Tibăr (2014)
Annales de l’institut Fourier
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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.
Lei Tan (1997)
Fundamenta Mathematicae
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We construct branched coverings such as matings and captures to describe the dynamics of every critically finite cubic Newton map. This gives a combinatorial model of the set of cubic Newton maps as the gluing of a subset of cubic polynomials with a part of the filled Julia set of a specific polynomial (Figure 1).
Thunberg, Hans (1994)
Experimental Mathematics
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Ilhem, Djellit, Amel, Kara (2006)
Discrete Dynamics in Nature and Society
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Henry Brougham, Edward John Routh
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Vladimír Janovský, Viktor Seige (1993)
Applications of Mathematics
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The global convergence of a direct method for determining turning (limit) points of a parameter-dependent mapping is analysed. It is assumed that the relevant extended system has a singular root for a special parameter value. The singular root is clasified as a (i.e., as a turning point). Then, the Theorz for Imperfect Bifurcation offers a particular scenario for the split of the singular root into a finite number of regular roots (turning points) due to a given parameter imperfection....