310 citations · 501 across the 11 of their papers we have counts for
Showing nlin.AOShow all
3 papers · 1 filter
nlin.AO2019★ 19 cited
Observing Microscopic Transitions from Macroscopic Bursts: Instability-Mediated Resetting in the Incoherent Regime of the -dimensional Generalized Kuramoto Model
Sarthak Chandra, Edward Ott
We consider a recently introduced -dimensional generalized Kuramoto model for many interacting agents in which the agent states are -dimensional unit vectors. It w…
nlin.AO2018★ 36 cited
Complexity Reduction Ansatz for Systems of Interacting Orientable Agents: Beyond The Kuramoto Model
Sarthak Chandra, Michelle Girvan, Edward Ott
Previous results have shown that a large class of complex systems consisting of many interacting heterogeneous phase oscillators exhibit an attracting invariant manifold. This resu…
nlin.AO2018★ 95 cited
Continuous versus Discontinuous Transitions in the -Dimensional Generalized Kuramoto Model: Odd is Different
Sarthak Chandra, Michelle Girvan, Edward Ott
The Kuramoto model, originally proposed to model the dynamics of many interacting oscillators, has been used and generalized for a wide range of applications involving the collecti…