Saddle-node bifurcation on invariant circle
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Author: Dr. Eugene M. Izhikevich, The Neurosciences Institute, San Diego, California
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is a bifurcation parametr).Saddle-node bifurcation on invariant circle, also known as SNIC or SNLC (saddle-node on limit cycle) bifurcation, occurs when the center manifold of a saddle-node bifurcation forms an invariant circle, as in Fig.1. Such a bifurcation results in (dis)appearance of a limit cycle of an infinite period. It plays an important role in computational neuroscience, where it is exhibited by Class 1 excitable systems (such as cortical pyramidal neurons).
| Invited by: | Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia |
