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Stability and chaos in an inertial two-neuron system

✍ Scribed by Diek W. Wheeler; W.C. Schieve

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
804 KB
Volume
105
Category
Article
ISSN
0167-2789

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✦ Synopsis

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, and phase space plots.

πŸ“œ SIMILAR VOLUMES

A rigorous verification of chaos in an i
A rigorous verification of chaos in an inertial two-neuron system
✍ Xiao-Song Yang; Fangyan Yangi πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 298 KB

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.