3 papers
nlin.CD2026
Internal Reliability of Coupled Kuramoto-Sakaguchi Phase Oscillators
Arkady Pikovsky, Franco Bagnoli, Stefano Iubini
The notion of internal reliability in dynamical networks describes whether replicas of a particular unit follow the dynamics of the reference unit. Reliability and anti-reliability…
nlin.CD2026
Conservative dynamics in phase oscillator networks
Arkady Pikovsky
The interaction between phase oscillators is conservative if the phase volume is conserved throughout the dynamics. We derive a general condition, based on the notion of a pair-Ham…
nlin.AO2024
Dynamics of large oscillator populations with random interactions
Arkady Pikovsky, Lev A. Smirnov
We explore large populations of phase oscillators interacting via random coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling and the Winfree coupling, are…