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Fig. 1 | The Journal of Mathematical Neuroscience (JMN)

Fig. 1

From: Path-Integral Methods for Analyzing the Effects of Fluctuations in Stochastic Hybrid Neural Networks

Fig. 1

a Deterministic trajectories of a multistable dynamical system. The subset Ω is contained within the basin of attraction of a fixed point \(\mathbf {u}_{s}\). The boundary of the basin of attraction consists of separatrices, which are also solution trajectories. Paths that start in a neighborhood of a separatrix are attracted by different fixed points, depending whether they begin on the left or right of the separatrix. b Random trajectories of the stochastic system. Escape from the domain Ω occurs when a random trajectory hits the boundary ∂Ω

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