第9695回北大MMCセミナー

Oscillatory dynamics coupled through membrane-bulk diffusion is observed in physiology,chemical reaction and so on. There are already several mathematical researches on this topic.

Here, we consider the simplest cases:

(1)two Van der Pol oscillators coupled by 1-D passive bulk diffusion and
(2)oscillators on a circle coupled by the passive bulk disk inside.

Depending on the diffusion and leakage constants we can observe both synchronized and a-synchronized oscillations. We are going to consider the linearized stability of the trivial state.