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most citedRobust oscillations in SIS epidemics on adaptive networks: Coarse-graining by automated moment closure

89 citations · 275 across the 19 of their papers we have counts for

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math.DS2006

Periodically-forced finite networks of heterogeneous coupled oscillators: a low-dimensional approach

Carlo R. Laing, Ioannis G. Kevrekidis

We study a network of 500 coupled modified van der Pol oscillators. The value of a parameter associated with each oscillator is drawn from a normal distribution, giving a heterogen…

math.DS2004★ 2 cited

Newton-Krylov solvers for time-steppers

C. T. Kelley, I. G. Kevrekidis, L. Qiao

We study how the Newton-GMRES iteration can enable dynamic simulators (time-steppers) to perform fixed-point and path-following computations.For a class of dissipative problems, wh…