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Breathers in lattices with alternating strain-hardening and strain-softening interactions

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dc.contributor.authorLee, Marisa M.
dc.contributor.authorCharalampidis, Efstathios G.
dc.contributor.authorXing, Siyuan
dc.contributor.authorChong, Christopher
dc.contributor.authorKevrekidis, Panayotis G.
dc.contributor.departmentCalifornia Polytechnic State University, San Luis Obispo
dc.contributor.departmentCalifornia Polytechnic State University, San Luis Obispo
dc.contributor.departmentCalifornia Polytechnic State University, San Luis Obispo
dc.contributor.departmentBowdoin College
dc.contributor.departmentUniversity of Massachusetts Amherst
dc.date2023-09-24T09:28:30.000
dc.date.accessioned2024-04-26T18:39:51Z
dc.date.available2022-12-19T00:00:00Z
dc.date.issued2022-01-01
dc.description.abstractThis workfocuses onthe study of time-periodic solutions, including breathers, in a nonlinear lattice consisting of elements whose contacts alternate between strain-hardening and strain-softening. The existence, stability, and bifurcation structure of such solutions, as well as the system dynamics in the presence of damping and driving are studied systematically. It is found that the linear resonant peaks in the system bend toward the frequency gap in the presence of nonlinearity. The time-periodic solutions that lie within the frequency gap compare well to Hamiltonian breathers if the damping and driving are small. In the Hamiltonian limit of the problem, we use a multiple scale analysis to derive a Nonlinear Schrödinger (NLS) equation to construct both acoustic and optical breathers. The latter compare very well with the numerically obtained breathers in the Hamiltonian limit.
dc.identifier.doihttps://doi.org/10.48550/arXiv.2210.11690
dc.identifier.urihttps://hdl.handle.net/20.500.14394/34386
dc.relation.ispartofarXiv Preprint
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=2327&context=math_faculty_pubs&unstamped=1
dc.rightsUMass Amherst Open Access Policy
dc.source.statuspublished
dc.titleBreathers in lattices with alternating strain-hardening and strain-softening interactions
dc.typearticle
dc.typearticle
digcom.contributor.authorLee, Marisa M.
digcom.contributor.authorCharalampidis, Efstathios G.
digcom.contributor.authorXing, Siyuan
digcom.contributor.authorChong, Christopher
digcom.contributor.authorisAuthorOfPublication|email:kevrekid@math.umass.edu|institution:University of Massachusetts Amherst|Kevrekidis, Panayotis G.
digcom.date.embargo2022-12-19T00:00:00-08:00
digcom.identifiermath_faculty_pubs/1327
digcom.identifier.contextkey32799679
digcom.identifier.submissionpathmath_faculty_pubs/1327
dspace.entity.typePublication
relation.isAuthorOfPublication97bd8a53-35a3-40f5-b764-a518420ea82b
relation.isAuthorOfPublication.latestForDiscovery97bd8a53-35a3-40f5-b764-a518420ea82b
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