An elementary approach to dynamics and bifurcations of skew tent maps

DOI10.1080/10236190801927462zbMath1143.37025OpenAlexW2001327181MaRDI QIDQ3518587

Torsten Lindström, Hans Thunberg

Publication date: 8 August 2008

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

Full work available at URL: https://doi.org/10.1080/10236190801927462

zbMATH Keywords

time seriestransition to chaosthreshold autoregressive modelsperiodic attractor

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical aspects of attractors and their bifurcations (37G35)

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Cites Work

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• Testing for sign and amplitude asymmetries using threshold autoregressions
• A sequential procedure for determining the number of regimes in a threshold autoregressive model
• Asymmetric Tent Map Expansions. I. Eventually Periodic Points
• Piecewise smooth interval maps with non-vanishing derivative
• Threshold Autoregression with a Unit Root
• INSTRUMENTAL VARIABLE ESTIMATION OF A THRESHOLD MODEL

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