6.2 Global Equilibria:convergence and stability Equilibrium is steady state(for fixed-point attractors) Convergence is synaptic equilibrium.M=0 Stability is neuronal equilibrium.*=0 More generally neural signals reach steady state even though the activations still change.We denote steady state in the neuronal field F:F=0 Global stability:x=0,M=0 Stability-Equilibrium dilemma Neurons fluctuate faster than synapses fluctuate. Convergence undermines stability. 2003.11.19 52003.11.19 5 6.2 Global Equilibria: convergence and stability Equilibrium is steady state (for fixed-point attractors) Convergence is synaptic equilibrium. Stability is neuronal equilibrium. More generally neural signals reach steady state even though the activations still change. We denote steady state in the neuronal field : Global stability: Stability - Equilibrium dilemma : Neurons fluctuate faster than synapses fluctuate. Convergence undermines stability. Μ = 0 x = 0 F x Fx = 0 x = 0,M = 0  