A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications

Stefano Bosi and David Desmarchelier

No 2017.16, Working Papers from FAERE - French Association of Environmental and Resource Economists

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. The added value of this methodology rests on its generality and tractability. To illustrate the simplicity of our approach, we provide two analytical applications of dimension three and four to environmental economics, complemented with numerical simulations.

Keywords: local bifurcations; codimensions one and two; pollution; natural capital (search for similar items in EconPapers)
JEL-codes: C61 E32 O44 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2017-09
New Economics Papers: this item is included in nep-mac and nep-ore
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Citations: View citations in EconPapers (4)

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http://faere.fr/pub/WorkingPapers/Bosi_Desmarchelier_FAERE_WP2017.16.pdf First version, 2017 (application/pdf)

Related works:
Working Paper: A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications (2017)
Working Paper: A simple method to study local bifurcations of three and four-dimensional systems: characterizations and economic applications (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:fae:wpaper:2017.16

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