6533b7d2fe1ef96bd125dee1

RESEARCH PRODUCT

Topology of multiplex heterogeneous networks of Hodgkin-Huxley-type of models with bistability leading to stabilization stable equilibrium

Nataliya StankevichPekka Neittaanmäki

subject

PhysicsBistabilityThermodynamic equilibriumTopology (electrical circuits)MultiplexType (model theory)TopologyNetwork topologyHeterogeneous networkHodgkin–Huxley model

description

The dynamics of a multiplex heterogeneous networks of oscillators is studied. Two types of very similar models based on the Hodgkin-Huxley formalism are used as the basic elements of the network: the first one demonstrates bursting oscillations; the second one manifests bistability between bursting oscillations and stable equilibrium. Multiplex networks were developed and investigated, assuming more active communication between models with bistability. Different topologies of the networks are studied. It is shown that in this case it is enough to have one element with bistability in the subnetworks in order to stabilize the equilibrium state in the entire network.

yearjournalcountryeditionlanguage
2021-09-132021 5th Scientific School Dynamics of Complex Networks and their Applications (DCNA)
https://doi.org/10.1109/dcna53427.2021.9587233