摘要
We carry out numerical and theoretical investigations on the global unstable invariant set(manifold)of a saddlenode limit cycle in a leech heart interneuron model.The corresponding global bifurcation is accompanied by an explosion of secondary bifurcations of limit cycles and the emergence of loop-shaped bifurcation structures.The dynamical behaviors of the trajectories of the invariant set are very complicated and can only be partially explained by existing theories.
作者
岳志锋
魏芳
徐健学
张新华
YOOER Chi-Feng;WEI Fang;XU Jian-Xue;ZHANG Xin-Hua(Institute of Neuroscience,Fourth Military Medical University,Xi’an 710032;Institute of Nonlinear Dynamics,Xi’an Jiaotong University,Xi’an 710049;XAC Research and Development Center,Xi’an 710089)
基金
Supported by the National Natural Science Foundation of China under Grant Nos 10432010 and 10872155.