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Massā€inā€mass lattices with small internal resonators

Massā€inā€mass lattices with small internal resonators

Abstract We consider the massā€inā€mass (MiM) lattice when the internal resonators are very small. When there are no internal resonators the lattice reduces to a standard Fermiā€Pastaā€Ulamā€Tsingou (FPUT) system. We show that the solution of the MiM system, with suitable initial data, shadows the FPUT system for long periods of ā€¦