4 papers
Birth and breakdown of breathing and rotobreathing cyclops states in Kuramoto networks with higher-mode coupling
M. M. Khamkov, M. I. Bolotov, L. A. Smirnov +1
Cluster synchronization states often serve as organizing centers for collective dynamics, but their destabilization can open unexpected routes to both coherent and incoherent behav…
From Delay to Inertia and Triadic Interactions: A Predictive Model for Time-Delayed Oscillator Networks
L. A. Smirnov, V. O. Munyayev, M. I. Bolotov +1
Time-delayed oscillator networks underlie diverse biological and physical systems, yet standard first-order phase reductions fail to capture their high-dimensional collective dynam…
Heterogeneity Induces Cyclops States in Kuramoto Networks with Higher-Mode Coupling
Maxim I. Bolotov, Lev A. Smirnov, Vyacheslav O. Munyayev +2
Disorder is often seen as detrimental to collective dynamics, yet recent work has shown that heterogeneity can enhance network synchronization. However, its constructive role in st…
Breathing and switching cyclops states in Kuramoto networks with higher-mode coupling
Maxim I. Bolotov, Vyacheslav O. Munyayev, Lev A. Smirnov +2
Cyclops states are intriguing cluster patterns observed in oscillator networks, including neuronal ensembles. The concept of cyclops states formed by two distinct, coherent cluster…