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

被引：2
|
作者：
Firstova, Natalia [1 ]
Shchepakina, Elena [1 ]
机构：
[1] Samara Natl Res Univ, Dept Tech Cybernet, 34 Moskovskoye Shosse, Samara 443086, Russia
来源：
8TH WORKSHOP ON MULTI-RATE PROCESSES AND HYSTERESIS AND THE HYSTERESIS AND SLOW-FAST SYSTEMS (HSFS) WORKSHOP | 2017年 / 811卷
关键词：
BLACK SWANS; EXPLOSION; OSCILLATIONS; CANARDS;
D O I：
10.1088/1742-6596/811/1/012002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页数：8
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