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math.DS2013★ 18 cited
Localized patterns in periodically forced systems
A S Alnahdi, J Niesen, A M Rucklidge +1
Spatially localized, time-periodic structures are common in pattern-forming systems, appearing in fluid mechanics, chemical reactions, and granular media. We examine the existence…
math.DS2008★ 16 cited
Computing stability of multi-dimensional travelling waves
Veerle Ledoux, Simon J. A. Malham, Jitse Niesen +1
We present a numerical method for computing the pure-point spectrum associated with the linear stability of multi-dimensional travelling fronts to parabolic nonlinear systems. Our…