AAM Seminar - Stability and Hopf bifurcation analysis for financial dynamical model with time delay скачать в хорошем качестве

AAM Seminar - Stability and Hopf bifurcation analysis for financial dynamical model with time delay

Stability and Hopf bifurcation analysis for a financial dynamical model with time delay Dr. Kübra Değerli Bahçeşehir University, İstanbul, Türkiye Abstract: In this talk, the stability and Hopf bifurcation of a fractional-order delayed financial system will be discussed. In the analysis, the Laplace transform is used after the nonlinear system is converted to a linear system. By considering the time delay τ as the bifurcation parameter, it is shown that the equilibrium point remains asymptotically stable for all τ less than τ_0, whereas for τ greater than τ_0, the system undergoes a Hopf bifurcation at certain critical values of the delay. Finally, all theoretical results are supported by numerical simulations using MATLAB. Biography: Kübra Değerli received her BSc degree in Mathematics and a double major BSc degree in Statistics from Yıldız Technical University (Türkiye), and completed her MSc and PhD degrees in Mathematics at the same university, finishing her PhD in 2025. She has been a research assistant at Bahçeşehir University since 2019. Her research interests include nonlinear fractional-order differential equations, stability and bifurcation analysis, numerical methods, discrete-time dynamical systems, and mathematical biology.