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Bifurcation of a Saddle-Node Limit Cycle with Homoclinic Orbits Satisfying the Small Lobe Condition in a Leech Neuron Model |
| YOOER Chi-Feng, XU Jian-Xue, ZHANG Xin-Hua |
| Institute of Nonlinear Dynamics, Xi'an Jiaotong University, Xi'an 710049 |
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| Cite this article: |
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YOOER Chi-Feng, XU Jian-Xue, ZHANG Xin-Hua 2009 Chin. Phys. Lett. 26 080501 |
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Abstract Mechanism of period-adding cascades with chaos in a reduced leech neuron model is suggested as the bifurcation of a saddle-node limit cycle with homoclinic orbits satisfying the ``small lobe condition'', instead of the blue-sky catastrophe. In every spiking adding, the new spike emerges at the end of the spiking phase of the bursters.
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05.45.-a
87.19.L-
02.30.Oz
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Received: 20 November 2008
Published: 30 July 2009
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