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- Title
Bifurcation study of neuron firing activity of the modified Hindmarsh-Rose model.
- Authors
Wu, Kaijun; Luo, Tianqi; Lu, Huaiwei; Wang, Yang
- Abstract
In this paper, the effects of different parameters on the dynamic behavior of the nonlinear dynamical system are investigated based on modified Hindmarsh-Rose neural nonlinear dynamical system model. We have calculated and analyzed dynamic characteristics of the model under different parameters by using single parameter bifurcation diagram, time response diagram and two parameter bifurcation diagram. The results show that the period-adding bifurcation (with or without chaos), period-doubling bifurcation and intermittent chaos phenomenon (periodic and intermittent chaotic) can be observed more clearly and directly from the two parameter bifurcation diagram, and the optimal parameters matching interval can also be found easily.
- Subjects
NONLINEAR dynamical systems; NEURONS; BIFURCATION theory; MEMBRANE potential measurement; CHAOS theory; MATHEMATICAL models
- Publication
Neural Computing & Applications, 2016, Vol 27, Issue 3, p739
- ISSN
0941-0643
- Publication type
Article
- DOI
10.1007/s00521-015-1892-1