Waves in Diffusively Coupled Bursting Cells
暂无分享,去创建一个
We analyze the dynamics of a spatially extended system with bistability between a homogeneous stationary state and an unstable fixed point surrounded by an oscillatory state. We show that a wave front extinguishes homogeneous oscillations, replacing them with unsteady oscillations. A traveling wave solution connects the unsteady oscillations to the stationary state. The difference in potentials of the fixed points alone determines the velocity of the wave-front fixed points. We apply our results to a generic model of neuronal bursting. [S0031-9007(99)08785-2]
[1] Yoshiki Kuramoto,et al. Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.
[2] R. J. Field,et al. Oscillations and Traveling Waves in Chemical Systems , 1985 .
[3] B. M. Fulk. MATH , 1992 .
[4] Freddy Dumortier,et al. Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals , 1991 .