As applied to a system of simultaneous differential equations:
For a model to be convergence: the absolute value of the characteristic roots (for simplicity assuming distinct & real, for an n = 2 system) must be less than 1. |r|< 1
But I've come accross another rule about stability. For a system of difference equations (same assumptions, n = 2). The model is dynamically stable if both characteristic roots are negative. Excluding exceptions and saddle points etc. are these two concepts mutually exclusive, or do I have something mistaken here?
How can a system be divergent but stable? For instance in this case if r is two negative numbers where their absolute values are still < 1.