Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps

DOI10.1080/10236198.2021.1920937zbMath1481.39015OpenAlexW3159978810MaRDI QIDQ5155209

Noemi Schmitt, Laura Gardini, Frank H. Westerhoff, Iryna Sushko, Fabio Tramontana

Publication date: 6 October 2021

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

Full work available at URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_19_08.pdf

zbMATH Keywords

stability conditionsnecessary and sufficient conditionsnonlinear economic dynamicsthree-dimensional mapsroots of a cubic polynomial

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Bifurcations of singular points in dynamical systems (37G10) Real polynomials: location of zeros (26C10) Numerical computation of roots of polynomial equations (65H04) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

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