Chaos and rigorous verification of horseshoes in a class of Hopfield neural networks
โ Scribed by Zhiping Dan; Wen zhi Huang; Yan Huang
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 660 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0941-0643
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๐ SIMILAR VOLUMES
In this paper a rigorous verification for existence of horseshoe embedded in the attractor of a two-neurons system obtained is presented. The arguments are given in a spirit of computer-assisted proof by using topological horseshoe theory and elementary symbolic dynamics.
Frustration in a network described by a set of ordinary differential equations induces chaos when the global structure is such that local connectivity patterns responsible for stable oscillatory behaviours are intertwined, leading to mutually competing attractors and unpredictable itinerancy among b