Bursting phenomenon and the bifurcation mechanism in generalized Chua's circuit

作者：Chen Zhang-Yao; Zhang Xiao-Fang; Bi Qin-Sheng^*

来源：Acta Physica Sinica, 2010, 59(4): 2326-2333.

• generalized Chua's circuit
• bursting
• quiescent state
• spiking

By introducing the decimal controlling circuit composed of inductance and capacitance, a fourth older model of generalized Chua's circuit with fast-slow effect has been established lot certain parameter conditions The conditions for fold bifurcation as well as Hopf bifurcation of the fast subsystem ate investigated with the variation of the slow variable. Furthermore, the dynamical evolution of the clime system is explored, in which the fast-slow effect existing in the system is focused. Two types of bursting phenomenon, namely, the symmetric fold/fold and fold/Hopf periodic bursters. as well as their mechanism, are presented, which discloses the difference between the two burstings from the view point of bifurcation

• 出版日期2010-4
• 单位江苏大学