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• W2104902344 startingPage "1330041" @default.
• W2104902344 abstract "Based on the detailed bifurcation analysis and the master stability function, bursting types and stable domains of the parameter space of the Rulkov map-based neuron network coupled by the mean field are taken into account. One of our main findings is that besides the square-wave bursting, there at least exist two kinds of triangle burstings after the mean field coupling, which can be determined by the crisis bifurcation, the flip bifurcation, and the saddle-node bifurcation. Under certain coupling conditions, there exists two kinds of striking transitions from the square-wave bursting (the spiking) to the triangle bursting (the square-wave bursting). Stable domains of fixed points, periodic solutions, quasiperiodic solutions and their corresponding firing regimes in the parameter space are presented in a rigorous mathematical way. In particular, as a function of the intrinsic control parameters of each single neuron and the external coupling strength, a stable coefficient of the Neimark–Sacker bifurcation is derived in a parameter plane. These results show that there exist complex dynamics and rich firing regimes in such a simple but thought-provoking neuron network." @default.
• W2104902344 created "2016-06-24" @default.
• W2104902344 creator A5047189548 @default.
• W2104902344 creator A5062447125 @default.
• W2104902344 date "2013-12-01" @default.
• W2104902344 modified "2023-09-26" @default.
• W2104902344 title "BURSTING TYPES AND STABLE DOMAINS OF RULKOV NEURON NETWORK WITH MEAN FIELD COUPLING" @default.
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• W2104902344 doi "https://doi.org/10.1142/s0218127413300413" @default.
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