Inverse problems for dynamic patterns in coupled oscillator networks: when larger networks are simpler.

ABSTRACT: Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is often characterized by the emergence of various partially synchronized dynamic patterns, which in the case of large networks can be analysed using a variant of the mean-field approach. This method allows to predict what type of network dynamics can be observed for different system parameters. But it is less known that for different partially synchronized patterns it also allows to obtain statistical equilibrium relations that express the dependence of some time-averaged observable quantities of individual oscillators on the internal parameters of these oscillators and the interaction functions between them. In thi

SUBMITTER: Omel'chenko OE 

PROVIDER: S-EPMC12949230 | biostudies-literature | 2026 Feb

REPOSITORIES: biostudies-literature