Exploring parameter spaces in complex dynamics

• Pedro Ivan Suarez Navarro ^[1]
  1. [1] Universidad Nacional Agraria La Molina

     Universidad Nacional Agraria La Molina

     Perú

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 10, Nº. Extra 1, 2023, págs. 60-68
• Idioma: inglés
• DOI: 10.17268/sel.mat.2023.01.06
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• Resumen

  • We show the structure of the parameter space for a family of rational maps containing Blaschke products. Through numerical simulations using the orbit of a single critical point, we reveal the existence of infinitely many Mandelbrot-like sets along the unit circle, as well as eight-like structures in other regions of parameter space. We pose some open questions related to the parameter space of these functions.