This paper contains the results of an initial study into the FPGA implementotion of a spiking neural network. This work was undertaken as a task in a project that aims to design and develop a new kind of tangible Collaborative Autonomous Agent. The project intends to exploit/invesrigate methods for engineering emergent collective behaviour in large societies of actual miniature agents that can learn and evolve. Such multi-agent systems could be used to detect and collectively repair faults in a vane@ of applications where it is dijficult for humans to gain access, such as fluidic environments found in critical components of material/industrial systems. The initial achievement of implementation of a spiking neural network on a FPGA hardware plaform and results of a robotic wall following task are discussed by comparison with sofnvare driven robots and simulations.

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we revisit the Lorentz spaces L p, q for p > 1, q > 0 defined by G. G. Lorentz in the nineteen fifties and we show how the atomic decomposition of the spaces L p, 1 obtained by De Souza in 2010 can be used to characterize the multiplication and composition operators on these spaces. These characterizations, though obtained from a completely different perspective, confirm the various results obtained by S. C. Arora, G. Datt and S. Verma in different variants of the Lorentz Spaces.