119 citations · 569 across the 23 of their papers we have counts for
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Mode-locking in advection-reaction-diffusion systems: an invariant manifold perspective
Rory A. Locke, John R. Mahoney, Kevin A. Mitchell
Fronts propagating in two-dimensional advection-reaction-diffusion (ARD) systems exhibit rich topological structure. When the underlying fluid flow is periodic in space and time, t…
Finite-time barriers to front propagation in two-dimensional fluid flows
John R. Mahoney, Kevin A. Mitchell
Recent theoretical and experimental investigations have demonstrated the role of certain invariant manifolds, termed burning invariant manifolds (BIMs), as one-way dynamical barrie…
Frozen reaction fronts in steady flows: a burning-invariant-manifold perspective
John R. Mahoney, John Li, Carleen Boyer +2
The dynamics of fronts, such as chemical reaction fronts, propagating in two-dimensional fluid flows can be remarkably rich and varied. For time-invariant flows, the front dynamics…