| Multistability of clustered states in a globally inhibitory network (Chandrasekaran et al. 2009) |
| Accession: 120227 |
"We study a network of m identical excitatory cells projecting excitatory synaptic connections onto a single inhibitory interneuron, which is reciprocally coupled to all excitatory cells through inhibitory synapses possessing short-term synaptic depression.
We find that such a network with global inhibition possesses multiple stable activity patterns with distinct periods, characterized by the clustering of the excitatory cells into synchronized sub-populations.
We prove the existence and stability of n-cluster solutions in a m-cell network.
... Implications for temporal coding and memory storage are discussed." Reference: Chandrasekaran L, Matveev V, Bose A (2009) Multistability of clustered states in a globally inhibitory network Physica D: Nonlinear Phenomena 238(3):253-263 |
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MATLAB code for manuscript "Multistability of clustered states..." (2009) Chandrasekaran, Matveev, Bose
| Multistability of clustered states in a globally inhibitory network | |
The MATLAB scripts posted below reproduce Figs. 6,7 and 9 of the
manuscript:
Lakshmi Chandrasekaran, Victor Matveev, Amitabha Bose (2009)
Multistability of clustered states in a globally inhibitory network
Physica D: Nonlinear Phenomena, 238(3): 253-263.
[ DOI ]
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Please place all files in the same directory before running the main simulation script Fig6.m, Fig7.m, Fig9.m
Supported in part by the National Science Foundation grants
DMS 0417416 and DMS 0817703 to Victor Matveev
Victor Matveev
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Last modified: April 22, 2009
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