دورية أكاديمية
أعرض في EDS

Generation of stochastic mixed-mode oscillations in a pair of VDP oscillators with direct-indirect coupling

التفاصيل البيبلوغرافية
العنوان: Generation of stochastic mixed-mode oscillations in a pair of VDP oscillators with direct-indirect coupling
المؤلفون: Xiaojun Huang, Zigen Song
المصدر: Mathematical Biosciences and Engineering, Vol 21, Iss 1, Pp 765-777 (2024)
بيانات النشر: AIMS Press, 2024.
سنة النشر: 2024
المجموعة: LCC:Biotechnology
LCC:Mathematics
مصطلحات موضوعية: vdp oscillation, direct-indirect coupling, stochastic dynamic, mixed-mode oscillation, confidence ellipse method, basins of attraction, Biotechnology, TP248.13-248.65, Mathematics, QA1-939
الوصف: Environmental noise can lead to complex stochastic dynamical behavior in nonlinear systems. In this paper, we studied the phenomenon of a pair of Van der Pol (VDP) oscillators with direct-indirect coupling affected by Gaussian white noise. That is to say, a noise-induced equilibrium transition oscillation was observed in three types of different parameter regions, where the deterministic system had two kinds of stable equilibrium points. Meanwhile, with the noise intensity increasing, we found that the stochastic system will constantly switch between two stable equilibrium points. To analyze the stochastic behavior, we used the stochastic sensitivity equation and confidence ellipse method. When the confidence ellipsoid crossed the boundary of the attraction basin of the equilibrium point, the system entered into the state of stochastic mixed-mode oscillations, which was consistent with the simulation results.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1551-0018
Relation: https://doaj.org/toc/1551-0018
DOI: 10.3934/mbe.2024032?viewType=HTML
DOI: 10.3934/mbe.2024032
URL الوصول: https://doaj.org/article/67b2a310c93d4bf496e48e13116d6d94
رقم الأكسشن: edsdoj.67b2a310c93d4bf496e48e13116d6d94
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:15510018
DOI:10.3934/mbe.2024032?viewType=HTML