65 citations · 136 across the 13 of their papers we have counts for
5 papers · 1 filter
n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity
Youngmin Park
We introduce a scalar reduction method for forced or coupled systems with nonlinearities in both heterogeneity and coupling strength. Heterogeneity is formulated as a relatively we…
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…
A multiple timescales approach to bridging spiking- and population-level dynamics
Youngmin Park, G. Bard Ermentrout
A rigorous bridge between spiking-level and macroscopic quantities is an on-going and well-developed story for asynchronously firing neurons, but focus has shifted to include neura…
Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation
Youngmin Park, G. Bard Ermentrout
We study a deterministic version of a one- and two-dimensional attractor neural network model of hippocampal activity first studied by Itskov et al 2011. We analyze the dynamics of…
The Utility of Phase Models in Studying Neural Synchronization
Youngmin Park, Stewart Heitmann, G. Bard Ermentrout
Synchronized neural spiking is associated with many cognitive functions and thus, merits study for its own sake. The analysis of neural synchronization naturally leads to the study…