摘要
综述了多尺度奇异摄动系统复杂周期振荡的存在形式、产生机制和研究现状.特别地,对三尺度三维奇异摄动系统的混合模式振荡(MMOs)的局部小振荡的产生机制及其相互作用进行了详细的介绍.同时,以一类三尺度食物链模型为例,对有关的概念等进行了具体的说明.
This paper reviews the existing forms,generation mechanisms and research advances of complex periodic oscillationsin in multi-scale singular perturbation systems.In particular,the generation mechanisms of locally small amplitude oscillation for the mixed-mode oscillations(MMOs)as well as their interactions with three-timescale and three-dimensional singular perturbation systems are introduced in detail.Also this paper provides a three-timescale food chain model as an example to illustrate some related concepts.
作者
赵亮
沈建和
ZHAO Liang;SHEN Jianhe(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China;School of Information and Statistics,Guangxi University of Finance and Economics,Nanning 530003,China)
出处
《福建师范大学学报（自然科学版）》
CAS
2022年第4期11-19,共9页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(11771082)
广西自然科学基金资助项目(2022GXNSFBA035466)
广西高校中青年教师科研基础能力提升项目(2021KY0653)。
关键词
三尺度
奇异摄动
混合模式振荡
小振幅振荡
three timescale
singular perturbations
mixed-mode oscillations
small amplitude oscillations
