Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417675 | Journal of Mathematical Analysis and Applications | 2016 | 39 Pages |
Abstract
A ring of N=2M identical neuron cells with piecewise linear and saturated bidirectional coupling nonlinearities is considered. The rotating wave under investigation exists for 'most' values of the coupling parameters α>0 and |β|â¤Î±. The dominant Floquet multiplier is unstable and converges exponentially to 1 in the number of cells. The remaining 2Mâ2 nontrivial Floquet multipliers converge exponentially to 0. A heteroclinic bifurcation curve and also the heteroclinic orbit connections are described by explicit formulas. The entire work was motivated by electrical circuit experiments.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mauro Di Marco, Mauro Forti, Barnabas M. Garay, Miklós Koller, Luca Pancioni,