On direct bifurcations into chaos and order for a simple family of interval maps

DOI10.1017/S0004972700029853zbMath0726.58035MaRDI QIDQ3350345

Bau-Sen Du

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

chaosinterval mapsperiodic pointdirect bifurcation

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)

Cites Work

• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• Chaos in \(C^ 0-\)endomorphism of interval
• Interval mapping graphs and periodic points of continuous functions
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• An example of a bifurcation from fixed points to period 3 points
• On the Theorems of Sarkovskii and Stefan on Cycles
• No Division Implies Chaos

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