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Title:
The Toda Lattice with Almost Periodic Initial Data
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Abstract:
The Toda lattice is a completely integrable system of differential equations modeling infinite chains of particles with nearest-neighbor interactions. Via numerical experiments in the 1950s, solutions to these types of system are expected to approach almost-periodic solutions in time. We demonstrate this time almost-periodicity for a class of solutions with almost periodic initial data having absolutely continuous spectrum satisfying a certain thickness condition.
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