Listar por tema "holomorphic dynamics"
Mostrando ítems 1-6 de 6
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Achievable connectivities of Fatou components for a family of singular perturbations
American Institute of Mathematical Sciences (2022-09)In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps ... -
Dynamical mechanism behind ghosts unveiled in a map complexification
Elsevier (2022-01-14)Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...
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Dynamics of Newton method for symmetric quartic polynomial
Sociedad Española de Matemática Aplicada (SEMA) (2017-06-26)We consider the Newton method on symmetric quartic polynomials. The parameter space is divided into different regions with different dynamical behaviours. In this paper, we study the dynamics for values of the parameter ...
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Newton method for symmetric quartic polynomial
Elsevier (2016-11)We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ...
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On a family of rational perturbations of the doubling map
Taylor and Francis (2015-06-17)The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z 3 z−a 1−az¯ . First we study the basic properties of these ...
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Rational maps with Fatou components of arbitrarily large connectivity
Elsevier (2018-02-02)We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations ...
