65 citations · 77 across the 8 of their papers we have counts for
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math.DS2020
An Adaptive Phase-Amplitude Reduction Framework Without Constraints on Inputs
Dan Wilson
Phase reduction is a well-established technique used to analyze the timing of oscillations in response to weak external inputs. In the preceding decades, a wide variety of results…
nlin.AO2020★ 1 cited
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators
Youngmin Park, Dan Wilson
We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This…
nlin.AO2020★ 65 cited
Recent Advances in Coupled Oscillator Theory
Bard Ermentrout, Youngmin Park, Dan Wilson
We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be…