Hidden chaotic sets in a Hopfield neural system. (English) Zbl 1380.65423
Summary: In this paper we unveil the existence of hidden chaotic sets in a simplified Hopfield neural network with three neurons. It is shown that beside two stable cycles, the system presents hidden chaotic attractors and also hidden chaotic transients which, after a relatively long life-time, fall into regular motions along the stable cycles.
MSC:
| 65P20 | Numerical chaos |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
| 34D45 | Attractors of solutions to ordinary differential equations |
Software:
bvp4cReferences:
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