Exotic Homoclinic Surface of a Saddle-Node Limit Cycle in a Leech Neuron Model

  • Received Date: November 18, 2010
  • Published Date: February 28, 2011
  • We carry out numerical and theoretical investigations on the global unstable invariant set (manifold) of a saddle-node 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.
  • Article Text

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