Tipping induced by multiplexing on two layer networks

TL;DR

This paper investigates how multiplexing two-layer networks of oscillators can induce sudden transitions or tipping points in the dynamics, influenced by coupling types and network topology.

Contribution

It demonstrates that multiplexing can induce tipping phenomena across layers, with analysis on how coupling and topology affect these transitions.

Findings

Tipping can be induced in one layer by multiplexing with another.

Coupling topology influences the nature of the transitions.

Shared environment and mean field couplings contribute to sudden state changes.

Abstract

We report the study of sudden transitions or tipping in a collection of systems induced 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 behaviour. 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.