On the dimension of a part of the Mandelbrot set

DOI10.1088/0305-4470/22/24/013zbMath0718.58036OpenAlexW2099622837MaRDI QIDQ5750011

Ruud van Damme

Publication date: 1989

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/on-the-dimension-of-a-part-of-the-mandelbrot-set(b35cf647-c0be-4148-bd6c-b46ce28d7cff).html

zbMATH Keywords

Hausdorff dimensionMandelbrot setcomplex planepolynomial mapfractal bifurcation setregions of stability of periodic orbits

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Polynomials and rational functions of one complex variable (30C10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Scaling properties of a complex dynamical system

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