24 citations · 35 across the 4 of their papers we have counts for
6 papers
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…
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…
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…
Nonlinear control of networked dynamical systems
Megan Morrison, J. Nathan Kutz
We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emergi…
Nonlinear control in the nematode C. elegans
Megan Morrison, Charles Fieseler, J. Nathan Kutz
Recent whole-brain calcium imaging recordings of the nematode C. elegans have demonstrated that neural activity is dominated by dynamics on a low-dimensional manifold that can be c…
Community detectability and structural balance dynamics in signed networks
Megan Morrison, Michael Gabbay
We investigate signed networks with community structure with respect to their spectrum and their evolution under a dynamical model of structural balance, a prominent theory of sign…