  The dynamics of a multiplex heterogeneous network of oscillators is studied.
Two types of similar models based on the Hodgkin-Huxley formalism are used as
the basic elements of the networks. The first type model demonstrates bursting
oscillations. The second model demonstrates bistability between bursting
attractor and stable steady state. Basin of attraction of the stable
equilibrium in the model is very small. Bistabilty is a result taking into
account an additional ion channel, which has a non-monotonic characteristic and
can be interpreted as a channel with a communication defect. Suggested
multiplex networks assumed more active communication between models with a
defect as a result in such networks it is enough to have one element with a
communication defect in the subnetworks in order to stabilize the state of
equilibrium in the entire network.
