Typical dynamics of Newton's method

DOI10.1016/j.topol.2022.108201zbMath1503.37033OpenAlexW4286566376WikidataQ114127875 ScholiaQ114127875MaRDI QIDQ2165562

Timothy H. Steele

Publication date: 20 August 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108201

zbMATH Keywords

Newton's methodgenericodometeradding machine

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Iteration of real functions in one variable (26A18) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

• A characterization of adding machine maps
• Ubiquity of odometers in topological dynamical systems
• Liapunov stability and adding machines
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