Stability, bifurcations, and dynamics of global variables of a system of bursting neurons |
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| Authors: | Franović Igor Todorović Kristina Vasović Nebojsa Burić Nikola |
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| Institution: | Faculty of Physics, University of Belgrade, P.O. Box 44, 11001 Belgrade, Serbia. |
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| Abstract: | An approximate mean field model of an ensemble of delayed coupled stochastic Hindmarsh-Rose bursting neurons is constructed and analyzed. Bifurcation analysis of the approximate system is performed using numerical continuation. It is demonstrated that the stability domains in the parameter space of the large exact systems are correctly estimated using the much simpler approximate model. |
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