Floquet multipliers of a metastable rotating wave in a Chua–Yang ring network

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|≤α. The dominant Floquet multiplier is unstable and converges exponentially to 1 in the number of cells. The remaining 2M−2 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.