On the Characterization of Steady-States in Three-Dimensional Discrete Dynamical Systems

Amer Tabakovic

DEM Discussion Paper Series from Department of Economics at the University of Luxembourg

Abstract: This paper develops a new method to completely characterize the local stability properties of three-dimensional, first-order, nonlinear, autonomous discrete dynamical systems. This is acomplished analytically by means of the characteristic polynomial, i. e., by means of the trace, the determinant, and the sum of principal minors of order two of the Jacobi matrix. The intuition for this method relies on algebraic properties of the (cubic) characteristic polynomial.

Keywords: Non-Linear Discrete Dynamics; Local Stability Properties (search for similar items in EconPapers)
JEL-codes: C02 C62 (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://wwwen-archive.uni.lu/content/download/8612 ... amical%20Systems.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:luc:wpaper:15-16

Access Statistics for this paper

More papers in DEM Discussion Paper Series from Department of Economics at the University of Luxembourg Contact information at EDIRC.
Bibliographic data for series maintained by Marina Legrand ().