Logistic systems with linear feedback

5th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Son, Leonid^1 ; Shulgin, Dmitry^1 ; Ogluzdina, Olga^1

Ural Federal University, 19 Myra st., Ekaterinburg, Russia^1

关键词: Bifurcation behavior;    External fields;    Internal characteristics;    Linear feedback;    Logistic curves;    Logistic systems;    Manufacturing enterprise;    S Curve;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/738/1/012053/pdf
DOI  :  10.1088/1742-6596/738/1/012053

来源: IOP

【 摘 要 】

A wide variety of systems may be described by specific dependence, which is known as logistic curve, or S-curve, between the internal characteristic and the external parameter. Linear feedback between these two values may be suggested for a wide set of systems also. In present paper, we suggest a bifurcation behavior for systems with both features, and discuss it for two cases, which are the Ising magnet in external field, and the development of manufacturing enterprise.