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Desynchronization Dynamics of Two Coupled Oscillators
Desynchronization Dynamics of Two Coupled Oscillators
Neurons and neuronal networks can be modeled at many different levels, depending upon the phenomena one is modeling and the accuracy desired. In this Demonstration, neurons are considered as nonlinear phase oscillators that fire action potentials in accordance with the FitzHugh–Nagumo equations, two differential equations that are a simplification of the more biophysically involved Hodgkin–Huxley equations. Two neurons are initially synchronized trivially by being uncoupled. Interesting dynamical behavior can be observed when the neurons are coupled, both by excitation and inhibition. This behavior can be observed on a voltage-time axis for each neuron as well as in a state space, in which the trajectory about the equilibrium point is shown in either two or three dimensions.