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In this work, we propose a variant of spiking neural P systems, called spiking neural P systems with polarizations and rules on synapses (PSNRS P systems), where spiking rules are placed on synapses and neurons are associated with polarizations used to control the application of such spiking rules. The computation power of PSNRS P systems is investigated. It is proven that PSNRS P systems are Turing universal, both as number generating and accepting devices. Furthermore, a universal PSNRS P system with 151 neurons for computing any Turing computable functions is given. Compared with the case of SN P systems with polarizations but without spiking rules in neurons, less number of neurons are used to construct a universal PSNRS P system.<\/jats:p>","DOI":"10.1155\/2020\/8742308","type":"journal-article","created":{"date-parts":[[2020,7,9]],"date-time":"2020-07-09T23:49:04Z","timestamp":1594338544000},"page":"1-12","source":"Crossref","is-referenced-by-count":13,"title":["Spiking Neural P Systems with Polarizations and Rules on Synapses"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7748-7959","authenticated-orcid":true,"given":"Suxia","family":"Jiang","sequence":"first","affiliation":[{"name":"Henan Key Lab of Information Based Electrical Appliances, School of Electrical and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, Henan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jihui","family":"Fan","sequence":"additional","affiliation":[{"name":"Henan Key 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