Tipping induced by multiplexing on two-layer networks
Indian Institute of Science Education and Research (IISER) Tirupati, 517507, Tirupati, India
Accepted: 21 April 2021
Published online: 4 May 2021
We report the study of sudden transitions or tipping induced in a collection of systems due to multiplexing with another network of systems. The emergent dynamics of oscillators on one layer can undergo a sudden transition to steady state due to indirect coupling with a shared environment, mean field couplings and conjugate couplings among them. In all these cases, when multiplexed with another set of similar systems, the tipping phenomena are induced on the second layer also with a similar pattern of behavior. We consider van der Pol oscillator as nodal dynamics with various network topologies like scale-free and regular networks with local and nonlocal couplings. We also report how the coupling topology influences the nature of transitions on both layers, under multiplexing.
© The Author(s), under exclusive licence to EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021