An example of a bifurcation from fixed points to period 3 points

DOI10.1016/0362-546X(86)90123-9zbMath0634.58022OpenAlexW2077151756MaRDI QIDQ3772949

Bau-Sen Du

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90123-9

zbMATH Keywords

fixed pointsbifurcationperiodic pointsone-parameter family of continuous functions

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

On the integrity of kneading sequences of a CO-family of unimodal functions ⋮ Unimodal expanding maps of the interval ⋮ On direct bifurcations into chaos and order for a simple family of interval maps

Cites Work

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• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• On unimodal linear transformations and chaos. II
• Sharkovskii's order for the appearance of superstable cycles in one-parameter families of simple real maps: An elementary proof
• Periodic points and chaos for expanding maps of the interval
• No Division Implies Chaos
• Hypergraphic Functions and Bifurcations in Recurrence Relations

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