Journal article
FOLDED SADDLE-NODES AND THEIR NORMAL FORM REDUCTION IN A NEURONAL RATE MODEL
Annals. Series on mathematics and its applications, Vol.3(1), pp.69-86
07/01/2011
Abstract
The paper investigates the existence of folded singularities in a dynamical system of two fast and two slow equations. The normal formof the system near its fold curve is constructed. Then it is used todetermine the analytical conditions satisfied by a folded singularity.In particular, we find that there is a parameter region where foldedsaddle-nodes of type II exist. In the neighborhood of those points the system possesses a stable folded node and an unstable true equilibrium, and the local dynamics is complex.
Details
- Title: Subtitle
- FOLDED SADDLE-NODES AND THEIR NORMAL FORM REDUCTION IN A NEURONAL RATE MODEL
- Creators
- Rodica Curtu
- Resource Type
- Journal article
- Publication Details
- Annals. Series on mathematics and its applications, Vol.3(1), pp.69-86
- Publisher
- Academy of Romanian Scientists Publishing House
- ISSN
- 2066-5997
- eISSN
- 2066-6594
- Language
- English
- Date published
- 07/01/2011
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984071676202771
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