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Local Bifurcations of Three and Four-Dimensional Systems: A Tractable Characterization with Economic Applications

Stefano Bosi and David Desmarchelier ()

No 2017/02, EUSP Department of Economics Working Paper Series from European University at St. Petersburg, Department of Economics

Abstract: We provide necessary and sufficient conditions to detect local bifurcations of three and four-dimensional dynamical systems in continuous time. We characterize the bifurcations of codimension one and two. Our methodology is both general and tractable. To illustrate its operability, 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: 25 pages
Date: 2017-06-17
New Economics Papers: this item is included in nep-mac and nep-ore
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Related works:
Journal Article: Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications (2019) Downloads
Working Paper: Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications (2019)
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