4.6 Article

2-D Piecewise-Linear Neuron Model

出版社

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2020.3026702

关键词

Neurons; Mathematical model; Firing; Bifurcation; Stability analysis; Circuit stability; Numerical stability; Piecewise-linear; neuron model; firing pattern; non-autonomous; analog circuit

资金

  1. National Natural Science Foundation of China [51777016, 61801054]
  2. Natural Science Foundation of Jiangsu Province, China [BK20191451]

向作者/读者索取更多资源

This brief introduces a novel two-dimensional piecewise-linear neuron model to characterize the firing activities of a tabu learning neuron. The neuron model has an alterable equilibrium and its bifurcation mechanism is effectively analyzed. Coexisting bi-stable firing patterns are revealed, and parameter-related neuron firing activities are demonstrated by numerical methods. A analog electronic neuron circuit is implemented for verifying the coexisting bi-stable firing patterns.
This brief presents a novel two-dimensional (2D) piecewise-linear neuron model to characterize the firing activities of a tabu learning neuron. The neuron model has an alterable equilibrium, and its bifurcation mechanism is effectively analyzed by employing an approximate scheme. Coexisting bi-stable firing patterns are revealed and parameter-related neuron firing activities are demonstrated by several numerical methods. Finally, based on the standard components, an analog electronic neuron circuit is implemented to verify the coexisting bi-stable firing patterns. The presented neuron model with an extremely simple algebraic equation and circuit structure can be taken as a core cell for applications to large-scale neuromorphic circuits.

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