Connectedness and Stability of Julia Sets of the Composition of Polynomials of the Form z 2 +c n

DOI10.1112/S0024610799008509zbMath1033.37026OpenAlexW2104879536MaRDI QIDQ4520383

Rainer Brück

Publication date: 13 December 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610799008509

zbMATH Keywords

quadratic polynomialsFatou setiterates

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (9)

Generalized iteration ⋮ Interaction cohomology of forward or backward self-similar systems ⋮ Total disconnectedness of Julia sets of random quadratic polynomials ⋮ Infinitely many grand orbits. ⋮ The space of 2-generator postcritically bounded polynomial semigroups and random complex dynamics ⋮ Cooperation principle, stability and bifurcation in random complex dynamics ⋮ Stability of Julia sets for a quadratic random dynamical system ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ Julia sets of random exponential maps

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