Iterations of transformations on the unit interval: Approach to a periodic attractor

DOI10.1007/BF01011579zbMath0511.28012OpenAlexW1970717790MaRDI QIDQ1839060

Jean Coste

Publication date: 1980

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01011579

zbMATH Keywords

periodic orbitsinvariant measuretopological entropyCantor setsiteration of transformationsstable periodic attractor

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items

Persistence of order and structure in chaos

Cites Work

• The qualitative analysis of a difference equation of population growth
• Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
• Quantitative universality for a class of nonlinear transformations
• On finite limit sets for transformations on the unit interval
• Stable Orbits and Bifurcation of Maps of the Interval
• Deterministic Nonperiodic Flow
• Simple mathematical models with very complicated dynamics
• APERIODIC BEHAVIOUR OF A NON-LINEAR OSCILLATOR