Period 3 and chaos for unimodal maps

DOI10.3934/dcds.2014.34.1933zbMath1305.37020OpenAlexW2327897526MaRDI QIDQ379853

Yuh-Jenn Wu, Kaijen Cheng, Kenneth James Palmer

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.1933

zbMATH Keywords

stabilitySchwarzian derivativechaossubshift of finite typehyperbolicunimodal mapperiod 3

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (1)

Chaos Level Measurement in Logistic Map Used as the Chaotic Numbers Generator in Differential Evolution

Cites Work

• Chaos, Cantor Sets, and Hyperbolicity for the Logistic Maps
• Period Three Implies Chaos
• Stable Orbits and Bifurcation of Maps of the Interval
• An Elementary Proof for Hyperbolicity and Chaos of the Logistic Maps
• Some properties of coupled-expanding maps in compact sets
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