65 citations · 77 across the 8 of their papers we have counts for
8 papers
N-Body Oscillator Interactions of Higher-Order Coupling Functions
Youngmin Park, Dan Wilson
We introduce a method to identify phase equations that include -body interactions for general coupled oscillators valid far beyond the weak coupling approximation. This strategy…
Nonlinear Data-Driven Approximation of the Koopman Operator
Dan Wilson
Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. T…
Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach
Dan Wilson
Given the high dimensionality and underlying complexity of many oscillatory dynamical systems, phase reduction is often an imperative first step in control applications where oscil…
Data-Driven Inference of High-Accuracy Isostable-Based Dynamical Models in Response to External Inputs
Dan Wilson
Isostable reduction is a powerful technique that can be used to characterize behaviors of nonlinear dynamical systems in a basis of slowly decaying eigenfunctions of the Koopman op…
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…
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…