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Exotic Homoclinic Surface of a Saddle-Node Limit Cycle in a Leech Neuron Model |
| YOOER Chi-Feng1,2**, WEI Fang3, XU Jian-Xue2, ZHANG Xin-Hua2
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1Institute of Neuroscience, Fourth Military Medical University, Xi'an 710032
2Institute of Nonlinear Dynamics, Xi'an Jiaotong University, Xi'an 710049
3XAC Research and Development Center, Xi'an 710089
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| Cite this article: |
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YOOER Chi-Feng, WEI Fang, XU Jian-Xue et al 2011 Chin. Phys. Lett. 28 030501 |
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Abstract 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.
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05.45.-a
87.19.L-
02.30.Oz
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Received: 19 November 2010
Published: 28 February 2011
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