A gravimetric two-component inertial system
✍ Scribed by A. S. Devyatisil’nyi; K. A. Chislov
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 142 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0543-1972
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📜 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.
Inertia is added to a continuous-time, Hopfield (1984) effective-neuron system. We explore the effects on the stability of the fixed points of the system. A two-neuron system with one or two inertial terms added is shown to exhibit chaos. The chaos is confirmed by Lyapunov exponents, power spectra,