Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications

Stefano Bosi and David Desmarchelier

Mathematical Social Sciences, 2019, vol. 97, issue C, 38-50

Abstract: We provide necessary and sufficient conditions to detect local bifurcations of three and four-dimensional dynamical systems in continuous time. We characterize not only the bifurcations of codimension one but also those of codimension two. For the sake of completeness, we give also the non-degeneracy conditions for each bifurcation. The added value of our methodology rests on its generality. To illustrate the tractability of our approach, we provide two analytical applications of dimension three and four to environmental economics, complemented with numerical simulations.

Date: 2019
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Citations: View citations in EconPapers (15)

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Related works:
Working Paper: Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications (2019)
Working Paper: Local Bifurcations of Three and Four-Dimensional Systems: A Tractable Characterization with Economic Applications (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:97:y:2019:i:c:p:38-50

DOI: 10.1016/j.mathsocsci.2018.11.001

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