On the dynamics of the rational family \(f_{t}(z)={-t/4} {(z^{2}-2)^{2}/(z^{2}-1)}\)

DOI10.1007/BF03321809zbMath1298.37029arXiv1102.3401OpenAlexW2065476658MaRDI QIDQ428933

Hye Gyong Jang, Norbert Steinmetz

Publication date: 25 June 2012

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3401

zbMATH Keywords

Julia setMandelbrot setescape componenthyperbolic componentMisiurewicz pointSierpiński curve, bifurcation locus

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Singular perturbations with multiple poles of the simple polynomials ⋮ Singular perturbations of the unicritical polynomials with two parameters ⋮ On the dynamics of rational maps with two free critical points

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