24 citations · 35 across the 4 of their papers we have counts for
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math.DS2022★ 24 cited
Chaotic heteroclinic networks as models of switching behavior in biological systems
Megan Morrison, Lai-Sang Young
Key features of biological activity can often be captured by transitions between a finite number of semi-stable states that correspond to behaviors or decisions. We present here a…
math.DS2022★ 1 cited
Solving nonlinear ordinary differential equations using the invariant manifolds and Koopman eigenfunctions
Megan Morrison, J. Nathan Kutz
Nonlinear ordinary differential equations can rarely be solved analytically. Koopman operator theory provides a way to solve nonlinear systems by mapping nonlinear dynamics to a li…
cs.SI2022★ 1 cited
Transitions between peace and systemic war as bifurcations in a signed network dynamical system
Megan Morrison, J. Nathan Kutz, Michael Gabbay
We investigate structural features and processes associated with the onset of systemic conflict using an approach which integrates complex systems theory with network modeling and…