Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks

作者：Zou Lan; Tang Huajin; Tan Kay Chen; Zhang Weinian

来源：IEEE Transactions on Neural Networks, 2009, 20(11): 1842-1851.

DOI：10.1109/TNN.2009.2032269

• Attractor networks
• degenerate equilibrium
• global attractivity
• linear threshold activation function
• multistability

Attractor dynamics is a crucial problem for attractor neural networks, as it is the underling computational mechanism for memory storage and retrieval in neural systems. This brief studies a class of attractor network consisting of linearized threshold neurons, and analyzes global attractors based on a parameterized 2-D model. On the basis of previous results on nondegenerate and degenerate equilibria in mathematics, we further elucidate all possible nontrivial global attractors. Our theoretical result provides precise descriptions on how the changes of network parameters affect the attractors' distribution and landscape, and it may give a feasible solution towards specifying attractors by specifying weights. Simulations are presented to illustrate the theoretical results.

• 出版日期2009-11
• 单位四川大学