Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 19, Issue 9, Pages 3242-3254Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2014.02.018
Keywords
Autapse; Bursting spiking; Firing pattern transition; HR neuron
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Funding
- National Natural Science Foundation of China [11275084]
- Fundamental Research Funds for the Central Universities [lzujbky-2012-17]
- Program for New Century Excellent Talents in University [NCET-11-0206]
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On the basis of the Hindmarsh-Rose (HR) neuron model, the dynamics of electrical activity and the transition of firing patterns induced by three types of autapses have been investigated in detail. The dynamic effect of an autapse is detected by imposing a feedback term with a specific time-delay and autaptic intensity. We found that the delayed autaptic feedback connection switches the electrical activities of the HR neuron among quiescent, periodic and chaotic firing patterns. In the case of an electrical autapse, the transition from a periodic to a chaotic state occurs depending on the specific autaptic intensity and the time-delay. The excitatory chemical autapse plays a positive role in generating and enhancing the chaotic state. A time delay could decrease and suppress the chaotic state in the case of inhibitory chemical self-connections with a proper autaptic intensity. The bifurcation diagram vs. time-delay and autaptic intensity has been extensively studied, and the time series of membrane potentials and the distribution of information entropy have also been calculated to confirm the bifurcation analysis. (C) 2014 Elsevier B. V. All rights reserved.
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