Fixed Points and Factoring Iterates of the Logistic Map

DOI10.1080/1726037X.2005.10698489zbMath1079.37030MaRDI QIDQ5462721

Paul Bracken

Publication date: 3 August 2005

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

zbMATH Keywords

logistic mapthree- and four-cycles

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Uses Software

• Maple

Cites Work

• Unnamed Item
• Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics
• Period Three Implies Chaos
• Deterministic Nonperiodic Flow
• The Birth of Period Three

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