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...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10432010 and 10872155.
文摘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.
