Stability of bifurcating periodic solutions for a single delayed inertial neuron model under periodic excitation. (English) Zbl 1163.92305
Summary: Using the average method, we investigate the dynamical characteristics of a single inertial neuron model with time delays under periodic external stimuli. It is shown that the system will lose its stability when the time delay is increased and will give rise to a quasi-periodic motion and chaos under the interactions of periodic excitations. Numerical simulations show that the results of the analytical method are correct by a comparison with those of direct numerical integration.
MSC:
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
Keywords:
inertial neuron network; periodic stimuli; averaged method; quasi-periodic motion; time delaysReferences:
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