Dynamical Analysis of a Nonlinear Financial System with Computational Algebra Methods

Abstract

This paper presents algebraic invariants and bifurcation analysis of a nonlinear financial system. We focus on the local stability of the equilibrium points of this system and find the suitable values of parameters for Hopf Bifurcation. Finally, we investigate the invariants to show the general behaviour.

Keywords

• stability
• invariants
• bifurcation analysis
• kararlılık analizi
• değişmezler
• çatallanma analizi