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dc.contributor.authorFarid, M.
dc.contributor.authorGendelman, O. V
dc.date.accessioned2021-09-20T17:41:31Z
dc.date.available2021-09-20T17:41:31Z
dc.date.issued2021-01-05
dc.identifier.urihttps://hdl.handle.net/1721.1/132025
dc.description.abstractAbstract Escape from a potential well is an extreme example of transient behavior. We consider the escape of the harmonically forced particle under viscous damping from the benchmark truncated weakly nonlinear potential well. Main attention is paid to most interesting case of primary 1:1 resonance. The treatment is based on multiple-scales analysis and exploration of the slow-flow dynamics. Contrary to Hamiltonian case described in earlier works, in the case with damping the slow-flow equations is not integrable. However, if the damping is small enough, it is possible to analyze the perturbed slow-flow equations. The effect of the damping on the escape threshold is evaluated in an explicit analytic form. The substantial difference between the linear and weakly nonlinear cases in terms of the slow-flow dynamics of the escape mechanisms is demonstrated and discussed.en_US
dc.publisherSpringer Netherlandsen_US
dc.relation.isversionofhttps://doi.org/10.1007/s11071-020-05987-8en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceSpringer Netherlandsen_US
dc.titleEscape of a forced-damped particle from weakly nonlinear truncated potential wellen_US
dc.typeArticleen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mechanical Engineering
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2021-01-30T04:26:00Z
dc.language.rfc3066en
dc.rights.holderSpringer Nature B.V.
dspace.embargo.termsY
dspace.date.submission2021-01-30T04:26:00Z
mit.licensePUBLISHER_POLICY
mit.metadata.statusAuthority Work and Publication Information Needed


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