Classification of all cycles of the parabolic map

DOI10.1016/0167-2789(91)90218-XzbMath0748.58011OpenAlexW2077966482MaRDI QIDQ1181148

R. L. Bivins, N. Metropolis, James D. Louck, Myron L. Stein

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90218-x

zbMATH Keywords

cyclebifurcationparabolic map

Mathematics Subject Classification ID

Topological dynamics (37B99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (10)

A chaotic lattice field theory in one dimension* ⋮ Algorithms for producing and ordering lexical and nonlexical sequences out of one element ⋮ Counting orbits in conjugacy classes of the Hénon Hamiltonian repeller ⋮ Conway numbers and iteration theory ⋮ Transfinite function iteration and surreal numbers ⋮ Necklaces, MSS sequences, and DNA sequences ⋮ The digital tent map and the trapezoidal map ⋮ What is the effective impact of the explosive orbital growth in discrete-time one-dimensional polynomial dynamical systems? ⋮ Problems in combinatorics on words originating from discrete dynamical systems ⋮ Adjacency and parity relations of words in discrete dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• MSS sequences, colorings of necklaces, and periodic points of \(f(z)=z^ 2-2\)
• Maximal words connected with unimodal maps
• On finite limit sets for transformations on the unit interval

This page was built for publication: Classification of all cycles of the parabolic map