Numerical analyses and breadboard experiments of twin attractors in two-neuron-based non-autonomous Hopfield neural network

作者：Xu, Quan; Song, Zhe; Qian, Hui; Chen, Mo; Wu, Pingye; Bao, Bocheng^*

来源：The European Physical Journal - Special Topics, 2018, 227(7-9): 777-786.

DOI：10.1140/epjst/e2018-700122-3

• CHUAS CIRCUIT
• CHAOS
• HYPERCHAOS
• BIFURCATION
• SYSTEM
• BRAIN

This paper investigates twin attractors in a two-neuron-based non-autonomous Hopfield neural network (HNN) through numerical analyses and hardware experiments. Stability analysis of the DC equilibrium point is executed and an unstable saddle-focus is found in the parameter region of interest. The stimulus-associated dynamical behaviors are numerically explored by bifurcation diagrams and dynamical map in two-dimensional parameter-space, from which coexisting twin attractors behavior can be observed with the variations of two stimulus-associated parameters. Moreover, breadboard experiment investigations are carried out, which effectively verify the numerical simulations.

• 出版日期2018-10
• 单位常州大学