Nature of the Volcano Transition in the Fully Disordered Kuramoto Model

Abstract

Randomly coupled phase oscillators may synchronize into disordered patterns of collective motion. We analyze this transition in a large, fully connected Kuramoto model with symmetric but otherwise independent random interactions. Using the dynamical cavity method we reduce the dynamics to a stochastic single-oscillator problem with self-consistent correlation and response functions that we study analytically and numerically. We clarify the nature of the volcano transition and elucidate its relation to the existence of an oscillator glass phase.

References in corpus (2)

• Volcano transition in populations of phase oscillators with random nonreciprocal interactions
• Dynamics of oscillator populations with disorder in the coupling phase shifts

Cited by in corpus (10)

• Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks
• Nonreciprocal Spin-Glass Transition and Aging
• Dynamical Theory for Adaptive Systems
• Dynamics of oscillator populations with disorder in the coupling phase shifts
• Role of Coupling Asymmetry in the Fully Disordered Kuramoto Model
• Irreversibility in Non-reciprocal Chaotic Systems
• Flocking with random non-reciprocal interactions
• Universality of critical dynamics on a complex network
• Dynamics and chaotic properties of the fully disordered Kuramoto model
• Signature of glassy dynamics in dynamic modes decompositions