Solving for the Fixed Points of 3-Cycle in the Logistic Map and Toward Realizing Chaos by the Theorems of Sharkovskii and Li—Yorke

DOI10.1088/0253-6102/62/4/06zbMath1301.37024OpenAlexW1994525110MaRDI QIDQ2934221

M. Howard Lee

Publication date: 12 December 2014

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/62/4/06

zbMATH Keywords

fixed pointschaoslogistic map3-cycleSharkovskii theoremLi-Yorke theorem

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical systems involving maps of the interval (37E05)

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