Describing quadratic Cremer point polynomials by parabolic perturbations

DOI10.1017/S0143385798108301zbMath0923.58039OpenAlexW2025419941MaRDI QIDQ4236841

Dan Erik Krarup Sørensen

Publication date: 26 October 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385798108301

zbMATH Keywords

Julia setMandelbrot sethyperbolic componentsparabolic perturbations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99)

Related Items (4)

The solar Julia sets of basic quadratic Cremer polynomials ⋮ The Julia sets of quadratic Cremer polynomials ⋮ Infinitely renormalizable quadratic polynomials, with non-locally connected Julia set ⋮ Some rational maps whose Julia sets are not locally connected

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