Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 30, Issue 6, Pages 1672-1682Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2018.2872999
Keywords
Coupled neural P (CNP) systems; membrane computing (MC); neural-like P systems; P systems; small universality; universality
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Funding
- National Natural Science Foundation of China [61472328]
- Research Fund of Sichuan Science and Technology Project [2018JY0083]
- Chunhui Project Foundation of the Education Department of China [Z2016143, Z2016148]
- Research Foundation of the Education Department of Sichuan province, China [17TD0034]
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Inspired by Eckhorn's neuron model that emulates a mammal's visual cortex, this paper proposes a new kind of neural-like P system, called a coupled neural P (CNP) system. The CNP system consists of some coupled neurons, each with three components: receptive field, modulation, and output module. CNP systems are a kind of distributed parallel-computing model with a directed graph structure like spiking neural P systems. Moreover, CNP systems have a nonlinear coupled-modulation characteristic and a dynamic threshold mechanism. The computational power of CNP systems is discussed. Specifically, it is proved that CNP systems as number-generating devices are Turing universal. Moreover, we provide a small universal CNP system for function-computing devices.
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