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,
A rigorous verification of chaos in an inertial two-neuron system
β Scribed by Xiao-Song Yang; Fangyan Yangi
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 298 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
It is shown that natural vibrations, localized around the inclusion, are possible in a system consisting of an "infinite string on an elastic foundation-concentrated inertial inclusion which moves at a constant, subcritical velocity". The evolution of the trapped mode of oscillations is described an
A comparative study of the electrochexmcal oxldatlon of N,N-dlmethyl-1-naphthylamme (DMN) m emulsified water-mtrobenzene mixtures with different electrolytes and con&Ions was performed by quasi-stationary current-potential curves, cychc voltammetry, controlled potential electrolysis and rotatmg disk