Weak-noise-induced phenomena in a slow-fast dynamical system
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چکیده
This thesis considers a stochastic dynamical system that has multiple time scales. The focus lies on the planar slow-fast stochastic differential equation (a singularly perturbed stochastic system) modeling the spiking activity of an isolated FitzHugh-Nagumo neural oscillator. We analyze the model equation on the slow time scale τ (Eq.(1)) and on the fast time scale t (Eq.(2)). { dvτ = ε f(vτ , wτ )dτ + σ √ ε dWτ , dwτ = g(vτ , wτ )dτ, (1)
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