Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System
نویسندگان
چکیده
منابع مشابه
Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System
In this work we study mixed mode oscillations in a model of secretion of GnRH (Gonadotropin Releasing Hormone). The model is a phantom burster consisting of two feedforward coupled FitzHughNagumo systems, with three time scales. The forcing system (Regulator) evolves on the slowest scale and acts by moving the slow null-cline of the forced system (Secretor). There are three modes of dynamics: p...
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Mixed-mode oscillations (MMOs) are trajectories of a dynamical system in which there is an alternation between oscillations of distinct large and small amplitudes. MMOs have been observed and studied for over thirty years in chemical, physical, and biological systems. Few attempts have been made thus far to classify different patterns of MMOs, in contrast to the classification of the related ph...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2012
ISSN: 1536-0040
DOI: 10.1137/110860136