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activatory active medium agents amplitude analog information processing approximation associative memory assume attraction basins Belousov-Zhabotinskii reaction bistable media Boltzmann machine cells cellular automata coefficients connections consider core corresponds critical nucleus curvature dependence derivatives described determined diffusion dissipative patterns distributed active systems dynamical system effect eigenvalue energy evolution excitable media excitation wave filament front function Ginzburg-Landau equation given Haken Hence hole hypercube inhibitor concentration initial conditions interactions interface layer minimal molecules neural networks neurons nonlinear oscillations oscillatory media output units pacemaker parameter Perceptron period phase dynamics population population densities possible problem produce propagation velocity properties prototype patterns pulse radius region reproductive networks rotation frequency scroll ring sequence simulated annealing simulations small perturbations solution species spike spin spin glass spiral wave steady stored patterns Suppose synaptic matrix Synergetics temperature term topological charge total number trigger wave unstable variables vortex wave patterns wavefront wavenumber