Bursting phenomena as well as the bifurcation mechanism in a coupled BVP oscillator with periodic excitation

作     者：张晓芳 吴磊 毕勤胜 Xiaofang Zhang;Lei Wu;Qinsheng Bi

作者机构：Faculty of Civil Engineering and Mechanics Jiangsu University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2016年第25卷第7期

页      面：151-157页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.21276115) 

主　　题：coupled BVP oscillator two timescales bursting oscillations bifurcation mechanism 

摘      要：We explore the complicated bursting oscillations as well as the mechanism in a high-dimensional dynamical *** introducing a periodically changed electrical power source in a coupled BVP oscillator, a fifth-order vector field with two scales in frequency domain is established when an order gap exists between the natural frequency and the exciting *** the analysis of the generalized autonomous system, bifurcation sets are derived, which divide the parameter space into several regions associated with different types of dynamical behaviors. Two typical cases are focused on as examples,in which different types of bursting oscillations such as sub Hopf/sub Hopf burster, sub Hopf/fold-cycle burster, and doublefold/fold burster can be observed. By employing the transformed phase portraits, the bifurcation mechanism of the bursting oscillations is presented, which reveals that different bifurcations occurring at the transition between the quiescent states（QSs） and the repetitive spiking states（SPs） may result in different forms of bursting oscillations. Furthermore, because of the inertia of the movement, delay may exist between the locations of the bifurcation points on the trajectory and the bifurcation points obtained theoretically.