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Titlebook: Weakly Connected Neural Networks; Frank C. Hoppensteadt,Eugene M. Izhikevich Book 1997 Springer Science+Business Media New York 1997 biolo

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Local Analysis of Weakly Connected Mapsconsider weakly connected networks of difference equations, or mappings, of the form . where the variables .. ∈ ℝ., the parameters λ ∈ Λ,ρ ∈ R and the functions .. and .. have the same meaning as in previous chapters. The weakly connected mapping (7.1) can be also written in the form . where .. is t
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Local Analysis of WCNNsrium point. First we use the Hartman-Grobman theorem to show that the network’s local activity is not interesting from the neurocomputational point of view unless the equilibrium corresponds to a bifurcation point. In biological terms such neurons are said to be near a threshold. Then we use the cen
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Weakly Connected Oscillatorsuation in the uncoupled system (ε = 0) . has a hyperbolic stable limit cycle attractor γ ⊂ ℝ. The activity on the limit cycle can be described in terms of its phase . of oscillation . where Ω.(λ) is the natural frequency of oscillations. The dynamics of the oscillatory weakly connected system (9.1)
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Local Analysis of Weakly Connected Mapsconsider weakly connected networks of difference equations, or mappings, of the form . where the variables .. ∈ ℝ., the parameters λ ∈ Λ,ρ ∈ R and the functions .. and .. have the same meaning as in previous chapters. The weakly connected mapping (7.1) can be also written in the form . where .. is t
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