Conditions for the critical phenomena in a dynamic model of an electrocatalytic reaction

8th Workshop on Multi-Rate Processes and Hysteresis;HSFS Workshop (Hysteresis and Slow-Fast Systems)

Firstova, Natalia^1 ; Shchepakina, Elena^1

Department of Technical Cybernetics, Samara National Research University, Moskovskoye shosse 34, Samara

443086, Russia^1

关键词: Asymptotic formula;    Control parameters;    Critical phenomenon;    Critical regimes;    Differential systems;    Electrocatalytic reactions;    Geometric theory;    Integral manifold;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/811/1/012002/pdf
DOI  :  10.1088/1742-6596/811/1/012002

来源: IOP

【 摘 要 】

In the paper, a detailed study of the critical phenomena mechanism in a model of an electrocatalytic reaction is carried out. The use of the geometric theory of integral manifolds allows us to show the relationship between the critical regime and the stability loss delay of the slow integral manifold of the corresponding differential system. The asymptotic formula for the critical value of the control parameter is obtained.