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Small planar travelling waves in two-dimensional networks of coupled oscillators
The existence of several small planar travelling waves with arbitrary direction of propagation is shown for two-dimensional cubic networks of oscillators with linear nearest-neighbour coupling. The analysis is based on a spatial...
Merge Trees in Discrete Morse Theory
Benjamin Johnson
Jan 01, 0001
The field of topological data analysis seeks to use techniques in topology to study large data sets. The hope is that rather than single quantities that summarize the data, such as mean or standard deviation, information about...
Merge Trees Morse discrete topology Discrete Mathematics and Combinatorics Geometry and Topology mathematics Physical Sciences and Mathematics
Published by: Ursinus College
Small planar travelling waves in two-dimensional networks of coupled oscillators
The existence of several small planar travelling waves with arbitrary direction of propagation is shown for two-dimensional cubic networks of oscillators with linear nearest-neighbour coupling. The analysis is based on a spatial...