The dynamics of two-circle and three-circle inversion

• Autorzy: Daniel M. Look
• Języki publikacji: EN

Abstrakty

EN

We study the dynamics of a map generated via geometric circle inversion. In particular, we define multiple circle inversion and investigate the dynamics of such maps and their corresponding Julia sets.

Kategorie tematyczne

• 37F45: Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
• 37F10: Polynomials; rational maps; entire and meromorphic functions
• 51N05: Descriptive geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 199
• Numer: 3
• Strony: 227-247

Daty

wydano

2008

Twórcy

autor

Daniel M. Look

• Room 233 Stright Hall, Indiana University of Pennsylvania, Indiana, PA 15705, U.S.A.

Identyfikatory

DOI

10.4064/fm199-3-3