On the global dynamics of a finance model

Jaume Llibre and Clàudia Valls

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 1-4

Abstract: Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one–dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.

Keywords: Darboux invariant; Finance model; Poincaré compactification; Global dynamics (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:1-4

DOI: 10.1016/j.chaos.2017.10.026

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