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math.DS2025
Branches of localized patterned states
Bjorn Sandstede
Motivated by theoretical analyses of spatially localized structures with arbitrarily long periodic plateaus, we provide a framework of assumptions that simplifies their analysis an…
math.DS2025
Localized synchronous patterns in weakly coupled bistable oscillators
Erik Bergland, Jason J Bramburger, Bjorn Sandstede
Motivated by numerical continuation studies of coupled mechanical oscillators, we investigate branches of localized time-periodic solutions of one-dimensional chains of coupled osc…