Chapter 6 Architecture and Equilibria 6.2 Global Equilibria:convergence and stabi lity Equilibrium is steady state (for fixed-point attractors) Convergence is synaptic equilibrium.M=0 6.1 Stability is neuronal equilibrium.X=0 6.2 We denote steady state in the neuronal field F=0 6.3 Another forms with noise x=n M=N Stability-Equilibrium dilemma: Neuron fluctuate faster than synapses fluctuate Convergence undermines stability 2006.11.10 62006.11.10 6 Chapter 6 Architecture and Equilibria 6.2 Global Equilibria: convergence and stability Equilibrium is steady state (for fixed-point attractors) Convergence is synaptic equilibrium. Stability is neuronal equilibrium. We denote steady state in the neuronal field Another forms with noise Stability - Equilibrium dilemma : Neuron fluctuate faster than synapses fluctuate. Convergence undermines stability M = 0 6.1 • X = 0 6.2 • F x Fx = 0 6.3 • • • X n M N = =