Geometry and combinatorics of Julia sets of real quadratic maps
From MaRDI portal
Publication:1073438
DOI10.1007/BF01012905zbMath0588.58054OpenAlexW2045776828WikidataQ122938416 ScholiaQ122938416MaRDI QIDQ1073438
Andrew N. Harrington, Michael F. Barnsley, Jeffrey S. Geronimo
Publication date: 1984
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01012905
Iteration of real functions in one variable (26A18) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (3)
Recurrent iterated function systems ⋮ Iterated networks and the spectra of renormalizable electromechanical systems ⋮ A Mandelbrot set for pairs of linear maps
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orthogonality properties of iterated polynomial mappings
- On the iteration of a rational function: Computer experiments with Newton's method
- Sur l'itération des polynômes réels quadratiques
- Some tree-like Julia sets and Padé approximants
- On the invariant sets of a family of quadratic maps
- A family of almost periodic Schrödinger operators
- Sensitive dependence to initial conditions for one dimensional maps
- Analyticity properties of the Feigenbaum function
- Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings
- Snakes: oriented families of periodic orbits, their sources, sinks, and continuation
- On the bifurcation of maps of the interval
- Quantitative universality for a class of nonlinear transformations
- Invariant sets under iteration of rational functions
- On finite limit sets for transformations on the unit interval
- Infinite-Dimensional Jacobi Matrices Associated with Julia Sets
- Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials
- A computer-assisted proof of the Feigenbaum conjectures
- Period Three Implies Chaos
- Repellers for real analytic maps
- Orthogonal polynomials associated with invariant measures on Julia sets
- Moments of Balanced Measures on Julia Sets
This page was built for publication: Geometry and combinatorics of Julia sets of real quadratic maps
