Dynamics of a Conformable Fractional Order Generalized Richards Growth Model on Star Network with N=20 Nodes

Neriman Kartal

doi:10.17776/csj.1385759

EN

Dynamics of a Conformable Fractional Order Generalized Richards Growth Model on Star Network with N=20 Nodes

Abstract

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.

Keywords

References

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Details

Primary Language

English

Subjects

Dynamical Systems in Applications

Journal Section

Research Article

Authors

Neriman Kartal ^*
0000-0003-1100-0949
Türkiye

Publication Date

March 28, 2024

Submission Date

November 3, 2023

Acceptance Date

February 22, 2024

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

https://doi.org/10.17776/csj.1385759

IZ

https://izlik.org/JA83RS88MB

Cite

RIS / Bibtex

APA

Kartal, N. (2024). Dynamics of a Conformable Fractional Order Generalized Richards Growth Model on Star Network with N=20 Nodes. Cumhuriyet Science Journal, 45(1), 117-124. https://doi.org/10.17776/csj.1385759

Cited By

Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model

Iranian Journal of Science

https://doi.org/10.1007/s40995-025-01790-5

Öz

Dynamics of a Conformable Fractional Order Generalized Richards Growth Model on Star Network with N=20 Nodes

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model