Geodesic
Dynamics of two coupled neuron-type oscillators
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 75-88

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Dynamics of two diffusion coupled close oscillators occuring in nerve cells simulation is considered. For close to critical values of problem parameters the normal form for amplitude and phase variables is constructed. Phase reconstructions of the normal form when changing the coupling parameter of the system are analyzed. Numerical analysis of the original system shows correspondence between local phase reconstructions and phase reconstructions of the normal form in a wide area of parameters values. 
@article{MAIS_2008_15_2_a12,
     author = {S. D. Glyzin and E. O. Kiseleva},
     title = {Dynamics of two coupled neuron-type oscillators},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {75--88},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2008_15_2_a12/}
}
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S. D. Glyzin; E. O. Kiseleva. Dynamics of two coupled neuron-type oscillators. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 2, pp. 75-88. http://geodesic.mathdoc.fr/item/MAIS_2008_15_2_a12/