Single-Hopf Bursting in Periodic Perturbed Belousov-Zhabotinsky Reaction with Two Time Scales

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2013,（1）
• 页码范围: 37-40
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/30/1/010503

摘要

In recent years,bursting phenomena have been extensively studied in many fields,such as neuronal,chemical kinetics,electronic circuits,and population dynamics,[1-7] which may take place in the systems involving multiple time scales,characterized by a combination of large amplitude oscillation and relatively small amplitude oscillation during each evolution process.[8,9] Mathematically,the generation of bursting oscillation is often linked to various bifurcation models including fold-fold bursting,fold-Hopf bursting,Hopf-Hopf bursting and so on.[2,9,10] Moreover,bursting oscillation is also associated with some other mechanism,such as the break-up of an invariant torus,the singularity of a Hopf bifurcation,and the slow passage through Hopf bifurcation.