Home > Articles > Published articles > On the global dynamics of a finance model |
Date: | 2018 |
Abstract: | Recently several works have studied the following model of finance \[ x= z (y-a) x, y= 1-b y -x^2, z= -x -c z, \] 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. |
Grants: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Note: | Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Darboux invariant ; Finance model ; Global dynamics ; Poincar\'e compactification |
Published in: | Chaos, solitons and fractals, Vol. 106 (2018) , p. 1-4, ISSN 0960-0779 |
Postprint 9 p, 291.9 KB |