Bursting phenomena as well as the bifurcation mechanism in periodically excited hartley model

作者：Chen Zhangyao; Zhang Xiaofang; Bi Qinsheng^*

来源：Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(4): 765-773.

• Autonomous systems
• Bifurcation analysis
• Bursters
• Bursting phenomenon
• Current sources
• Electric circuit
• Equilibrium point
• Hartley
• Phase portrait
• Quiescent state

By introducing periodically alternated current source as well as suitable values for the parameters to ensure that there exists order gap between the natural frequency and the exited frequency, nonlinear electric circuit with fast-slow effect has been established. Based on the conception of generalized autonomous system and the analysis of the properties of equilibrium points, all possible bifurcation forms have been discussed. Different types of bursting phenomena, such as fold/fold burster, fold/subHopf/supHopf burster, in which the fold or Hopf bifurcations may connect the quiescent states and the spiking states, have been presented. The mechanism of the bursters is explored via bifurcation analysis, which has been illustrated by transformed phase portraits of the generalized autonomous system.

• 出版日期2010