Doğrusal Olmayan Bir Finansal Sistemin Hesaplamalı Cebir Metotlarıyla Dinamik Analizi

Bu çalışmada doğrusal olmayan bir finansal sistemin çatallanma analizi ve cebirsel değişmezleri sunulmaktadır. Sistemin denge noktalarının kararlılık analizi ve Hopf çatallanmasının göründüğü parametre değerlerine odaklanılmıştır. Son olarak genel davranışın gösterilmesi için değişmezler incelenmiştir. Anahtar Kelimeler: Kararlılık Analizi, Değişmezler, Çatallanma Analizi

Anahtar Kelimeler:

Kararlılık Analizi, Değişmezler, Çatallanma Analizi

Dynamical Analysis of a Nonlinear Financial System with Computational Algebra Methods

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,

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