International Journal of Bifurcation and Chaos · 1999 · 28 citations · 4 references
Natural SciencesNeurosciencePhysicsComputational BiophysicsComputational NeuroscienceDynamical SystemsBifurcation TheoryBiophysical Neuron ModelingChaos TheoryNeural Circuit ModelingNeural System ModelingNeuronal DynamicsBifurcationBifurcation AnalysisCoupling CoefficientHodgkin-huxley ModelsHopf Bifurcation With DelayNeural Bifurcation AnalysisPeriodic Solutions Of Differential EquationsSynaptic Transmission Modeling
We propose a numerical method for calculating bifurcations of periodic solutions observed in a model equation of Hodgkin–Huxley neurons coupled by excitatory synapses with a time delay. To illustrate the validity of the method, bifurcations in two-coupled Hodgkin–Huxley equations with variation of a coupling coefficient and time delay are studied.
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Clustering in globally coupled phase oscillators
David Golomb, D. Hansel, Boris I. Shraiman et al. · Physical Review A · 1992 · 281 citations