Phase analysis for 2-D weakly coupled oscillatory systems

A phase representation of a two dimensional nonlinear autonomous oscillator is presented. The validity of this representation is argued from the point of view of continuity and a global model is then obtained for a set of coupled oscillators. A brief review of a biological motivated 2 dimensional model for calcium oscillations within a cell is presented as an example of this concepts. A discussion on the results obtained concludes the present work.