Volcano transition in a solvable model of oscillator glass

Abstract

In 1992 a puzzling transition was discovered in simulations of randomly coupled limit-cycle oscillators. This so-called volcano transition has resisted analysis ever since. It was originally conjectured to mark the emergence of an oscillator glass, but here we show it need not. We introduce and solve a simpler model with a qualitatively identical volcano transition and find, unexpectedly, that its supercritical state is not glassy. We discuss the implications for the original model and suggest experimental systems in which a volcano transition and oscillator glass may appear.

5 pages, 4 figures

References in corpus (2)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Partially integrable dynamics of hierarchical populations of coupled oscillators

Cited by in corpus (18)

• Bifurcation analysis and structural stability of simplicial oscillator populations
• Distance dependent competitive interactions in a frustrated network of mobile agents
• Effect of repulsive links on frustration in attractively coupled networks
• Complexity Reduction Ansatz for Systems of Interacting Orientable Agents: Beyond The Kuramoto Model
• Nature of the Volcano Transition in the Fully Disordered Kuramoto Model
• First-order like phase transition induced by quenched coupling disorder
• Nonreciprocal Spin-Glass Transition and Aging
• Volcano transition in populations of phase oscillators with random nonreciprocal interactions
• Dynamics of oscillator populations with disorder in the coupling phase shifts
• Discordant synchronization patterns on directed networks of identical phase oscillators with attractive and repulsive couplings
• KuraNet: Systems of Coupled Oscillators that Learn to Synchronize
• Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
• Role of Coupling Asymmetry in the Fully Disordered Kuramoto Model
• Avalanches impede synchronization of jammed oscillators
• The spark of synchronization in heterogeneous networks of chaotic maps
• Signature of glassy dynamics in dynamic modes decompositions
• Dynamics and chaotic properties of the fully disordered Kuramoto model
• Competing synchronization on random networks