Plotting basins of end points of rational maps with Sage
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Publication:390598
zbMath1280.37001MaRDI QIDQ390598
Maria Teresa Rivas Rodriguez, Miguel Marañon Grandes, Louis Javier Hernandez Paricio
Publication date: 8 January 2014
Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)
Full work available at URL: http://www.tcms.org.ge/Journals/TMJ/Volume5_2/abstract5_2_6.html
Rational and birational maps (14E05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04) Mathematics and visual arts (00A66)
Related Items (10)
An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics ⋮ Self-overlays and symmetries of Julia sets of expanding maps ⋮ Influence of the multiplicity of the roots on the basins of attraction of Newton's method ⋮ Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents ⋮ The shape of the Julia set of an expanding rational map ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ A multi-point iterative method for solving nonlinear equations with optimal order of convergence ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ Measures of the Basins of Attracting n-Cycles for the Relaxed Newton’s Method
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