Research Of Spiking Neural P Systems With Self-Synapses

Membrane Computing is a new branch of natural computation. It is abstracted from the structure of living cells, tissues or organs and the functions of the collaboration between cells. The model progressing membrane computing is known as the membrane system or P system. According to the different type of abstract origin, membrane systems are divided into three categories:cell-like P systems, tissue-like P systems and neuron-like P systems, and they are respectively abstracted from living cells, tissues and neurons’structure and functions. Spiking neural P systems are a special category of neuron-like P systems, which are called SN P systems for short.SN P systems are divided into two categories:standard SN P systems and generalized SN P systems. SN P systems with self-synapses are generalized SN P systems, which are added self-synapses based on standard SN P systems. In this paper, there are three aspects researched about SN P systems with self-synapses:(1)The structure and definition of SN P systems with self-synapses. SN P systems with self-synapses allow neuron to have a synapse pointing to itself, In the system, a neuron with self-synapse can not only spike to other neurons, but also to itself.(2)The computing power of SN P systems with self-synapses. In this paper, by simulating register machine the SN P systems with self-synapses’computing power is studied. As number computing devices, it is proved to be computationally complete both in generating and accepting modes.(3) Generating special sets of natural numbers. In order to fully perform the SN P systems with self-synapses’self-synapse characteristic, its ability to generate special sets of natural number is studied. And the ways to generate some special sets of natural number like N-{1} are given and so on.