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SubmittedOpen Access (License Unspecified), Open
Journal article
Mass‐in‐mass lattices with small internal resonators
Studies in applied mathematics (Cambridge), v 146(1)
Jan 2021
Abstract
We consider the mass‐in‐mass (MiM) lattice when the internal resonators are very small. When there are no internal resonators the lattice reduces to a standard Fermi‐Pasta‐Ulam‐Tsingou (FPUT) system. We show that the solution of the MiM system, with suitable initial data, shadows the FPUT system for long periods of time. Using some classical oscillatory integral estimates we can conclude that the error of the approximation is (in some settings) higher than one may expect.
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Details
- Title
- Mass‐in‐mass lattices with small internal resonators
- Creators
- Fazel Hadadifard - Drexel UniversityJ. Douglas Wright - Drexel University
- Publication Details
- Studies in applied mathematics (Cambridge), v 146(1)
- Publisher
- Wiley
- Number of pages
- 18
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000574189100001
- Scopus ID
- 2-s2.0-85091774240
- Other Identifier
- 991019168361804721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied