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nlin.PS2020
Exploring Critical Points of Energy Landscapes: From Low-Dimensional Examples to Phase Field Crystal PDEs
Priya Subramanian, Ioannis G. Kevrekidis, Panayotis G. Kevrekidis
In the present work we explore the application of a few root-finding methods to a series of prototypical examples. The methods we consider include: (a) the so-called continuous-tim…
nlin.PS2020
Spatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems
Jennifer K. Castelino, Daniel J. Ratliff, Alastair M. Rucklidge +2
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between the…
nlin.PS2019
Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states
Florian Reetz, Priya Subramanian, Tobias M. Schneider
Convection in a layer inclined against gravity is a thermally driven non-equilibrium system, in which both buoyancy and shear forces drive spatio-temporally complex flow. As a func…