In this study, we analyze dynamical behavior of the conformable fractional order Richards growth model. Before examining the analysis of the dynamical behavior of the fractional continuous time model, the model is reduced to the system of difference equations via utilizing piecewise constant functions. An algebraic condition that ensures the stability of the positive fixed point of the system is obtained. With the center manifold theory, the existence of a Neimark-Sacker bifurcation at the fixed point of the discrete-time system is proven and the direction of this bifurcation is determined. In addition, the discrete dynamical system is also studied on the star network with N=20 nodes. Analysis complex dynamics of Richards growth model into coupled dynamical network shows that the complex star network with N=20 nodes also exhibits Neimark-Sacker bifurcation about the fixed point concerning with parameter c. Numerical simulations are performed to demonstrate the stability, bifurcations and dynamic transition of the coupled network.
Fractional order model star network discrete system stability Neimark-Sacker bifurcation
Birincil Dil | İngilizce |
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Konular | Uygulamalarda Dinamik Sistemler |
Bölüm | Natural Sciences |
Yazarlar | |
Yayımlanma Tarihi | 28 Mart 2024 |
Gönderilme Tarihi | 3 Kasım 2023 |
Kabul Tarihi | 22 Şubat 2024 |
Yayımlandığı Sayı | Yıl 2024 |