Open AccessDynamics of the electrochemical reaction behavior under the influence of random perturbations
Author(s) -
Natal'ya Mikhailovna Firstova
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/4/042005
Subject(s) - limit cycle , electrochemical noise , white noise , limit (mathematics) , neighbourhood (mathematics) , statistical physics , noise (video) , electrochemistry , mathematics , sensitivity (control systems) , perturbation (astronomy) , control theory (sociology) , physics , mathematical analysis , computer science , statistics , electrode , engineering , quantum mechanics , image (mathematics) , artificial intelligence , control (management) , electronic engineering
The paper deals with the effect of random perturbations on critical phenomena in a dynamic model of an electrochemical reaction. Classical theories predict that solutions of differential equations will leave any neighbourhood of a stable limit cycle if white noise is added to the system. The effect of external disturbances on the limit cycle is investigated, the sensitivity of the cycle to the noise is found. An analysis of the noise-induced transitions is performed.