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.
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.
作者
Ran Zhang
Miao Peng
Zhengdi Zhang
Qinsheng Bi
张冉;彭淼;张正娣;毕勤胜(1 Faculty of Science, Jiangsu University, Zhenjiang 212013, China 2Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China)
基金
Project supported by the National Natural Science Foundation of China(Grant No.11472116)
the Key Program of the National Natural Science Foundation of China(Grant No.11632008)
the Postgraduate Research&Practice Innovation Program of Jiangsu Province,China(Grant No.KYCX17 1784)
