Bifurcation and \(k\)-cycles of a finite-dimensional iterative map, with applications to logistic delay equations

DOI10.1016/S0168-9274(97)00036-6zbMath0939.65140OpenAlexW2025185024WikidataQ128039946 ScholiaQ128039946MaRDI QIDQ1360560

Alan Feldstein, Young Ik Kim

Publication date: 10 July 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00036-6

zbMATH Keywords

algorithmstabilitynumerical examplesbifurcationdomain of attractiondelay equationsperiodic points\(k\)-cycleslogistic equationsfinite-dimensional iterative map

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Cites Work

• The geometry of chaos: Dynamics of a nonlinear second-order difference equation
• A note on difference-delay equations
• Quantitative universality for a class of nonlinear transformations
• Discrete Dynamical Systems in Dimensions One and Two
• Turbulence in Multistep Methods for Initial Value Problems
• Oscillations and global attractivity in a discrete delay logistic model
• Mathematical models for mass transport through arcs and flames
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