Bursting oscillations as well as the bifurcation mechanism in a non-smooth chaotic geomagnetic field model

• 来源期刊: 中国物理B（英文版）
• 关键词: multiple time scales grazing bifurcation across-sliding bifurcation non-smooth homoclinic bifurcation
• 年，卷（期）: 2018,（11）
• 页码范围: 412-418
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/11/110501

摘要

Based on the chaotic geomagnetic field model,a non-smooth factor is introduced to explore complex dynamical behaviors of a system with multiple time scales.By regarding the whole excitation term as a parameter,bifurcation sets are derived,which divide the generalized parameter space into several regions corresponding to different kinds of dynamic behaviors.Due to the existence of non-smooth factors,different types of bifurcations are presented in spiking states,such as grazing-sliding bifurcation and across-sliding bifurcation.In addition,the non-smooth fold bifurcation may lead to the appearance of a special quiescent state in the interface as well as a non-smooth homoclinic bifurcation phenomenon.Due to these bifurcation behaviors,a special transition between spiking and quiescent state can also occur.