Abstract
This paper investigates a new variant of spiking neural P systems (SN P systems), called nonlinear spiking neural P systems with multiple channels (in short, NSN P-MC systems). In this variant, we consider two features: (i) each neuron can use its multiple channels to connect one or more different successor neurons; (ii) nonlinear spiking rules are introduced to control the spiking of neurons. The computational power of NSN P-MC systems is discussed. Turing universality of NSN P-MC systems as number generating/accepting devices is proven. In addition, a small universal NSN P-MC system with 54 neurons is constructed to compute any Turing computable function, and a small universal NSN P-MC system with 63 neurons is constructed to generate number.
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