Two coupled neurons

• Type: Article in International Conference Proceedings Book
• Date: 2006

Authors

Pinto, CMA (Author) Other; Labouriau, IS (Author) FCUP

Conference proceedings International

Title: 2006 IEEE International Conference on Computational Cybernetics, ICCC

2006 IEEE International Conference on Computational Cybernetics, ICCC

Tallinn, 20 August 2006 through 22 August 2006

Indexing

ISI Web of Knowledge

Scopus - 2 Citations

Other information

Authenticus ID: P-007-N1S

DOI: 10.1109/icccyb.2006.305706

Abstract (EN): We review the dynamical behaviour of a system of two coupled neurons. We consider symmetric and asymmetric linear coupling. The internal dynamics of each neuron is modeled by the space-clamped Hodgkin-Huxley equations. We start with the symmetric case. Results in the literature show that for strong enough coupling the two neurons show the same behaviour at all times. They may be periodically spiking or at rest. We define these states as perfect synchrony. When decreasing the coupling strength to small positive values almost perfect synchronization is retained. As we move towards negative values of the coupling the two neurons still synchronize but in a different way, they spike periodically with half-period phase shitf from each other. As we go towards lower negative values, the system becomes totally unstable. Periodic states where the two neurons synchronize are also defined as 1 : 1 phase locked modes. The asymmetric coupled system is studied as a perturbation from the symmetric case.

Language: English

Type (Professor's evaluation): Scientific