Embodiments of the present invention are employ dynamical, nanoscale devices, including memristive connections between nanowires, for constructing parallel, distributed, dynamical computational networks and systems, including perceptron networks and neural networks. In many embodiments of the present invention, neuron-like computational devices are constructed from silicon-based microscale and/or submicroscale components, and interconnected with one another by dynamical interconnections comprising nanowires and memristive connections between nanowires. In many massively parallel, distributed, dynamical computing systems, including the human brain, there may be a far greater number of interconnections than neuron-like computational nodes. Use of dynamical nanoscale devices for these connections results in enormous design, space, energy, and computational efficiencies.