重庆理工大学学报2025，Vol.39Issue(7)：233-238,6.DOI:10.3969/j.issn.1674-8425(z).2025.04.029
Bonhoeffer-van der Pol系统的稳态响应及随机分岔研究
Study of steady-state response and stochastic bifurcation of Bonhoeffer-van der Pol systems
摘要
Abstract
To further understand the evolution laws of the Bonhoeffer-van der Pol system's dynamic behavior under random excitation,this paper studies the steady-state response and stochastic bifurcation of stochastic Bonhoeffer-van der Pol system.The stationary solution of Bonhoeffer-van der Pol system under noise excitation is solved via path integral method,Gaussian closure method and Monte Carlo simulation.The stochastic P-bifurcation(Phenomenological Bifurcation)induced by system parameters is found.By comparing with Monte Carlo simulation results,the accuracy of the path integral method is verified.关键词
Bonhoeffer-van der Pol系统/路径积分/随机P-分岔Key words
Bonhoeffer-van der Pol system/path integral/stochastic P-bifurcation分类
数理科学引用本文复制引用
金晨,刘健康,王进斌,徐伟..Bonhoeffer-van der Pol系统的稳态响应及随机分岔研究[J].重庆理工大学学报,2025,39(7):233-238,6.基金项目
国家自然科学基金项目(12402035,12372034) （12402035,12372034）
山西省高等学校科技创新项目(2024L235) （2024L235）
太原科技大学科研启动基金项目(20232125) （20232125）
