Symbolic dynamics and renormalization of non-autonomouskperiodic dynamical systems

DOI10.1080/10236198.2011.611804zbMath1283.37033OpenAlexW2093023704MaRDI QIDQ4908668

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Publication date: 6 March 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.611804

zbMATH Keywords

renormalization*-productnon-autonomous systemskneading sequence

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Universality and renormalization of dynamical systems (37E20) Topological dynamics of nonautonomous systems (37B55)

Related Items (7)

Periodic attractors of nonautonomous flat-topped tent systems ⋮ Bifurcations of 2-Periodic Nonautonomous Stunted Tent Systems ⋮ Convergence rates for sequences of bifurcation parameters of nonautonomous dynamical systems generated by flat top tent maps ⋮ The structure of \(\omega\)-limit sets of asymptotically non-autonomous discrete dynamical systems ⋮ Bifurcation scenarios under symbolic template iterations of flat top tent maps ⋮ Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems ⋮ Genus for knots and links in renormalizable templates with several branch nodes

Cites Work

• Global stability of periodic orbits of non-autonomous difference equations and population biology
• On the periodic logistic equation
• Quantitative universality for a class of nonlinear transformations
• A Unified Renormalization Scheme for Two-Piecewise Monotonous Maps of the Interval
• Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures

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