{"paper":{"title":"Second order asymptotics for Krein indefinite multipliers with multiplicity two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.DS","authors_text":"Jingzhi Yan, Yinshan Chang","submitted_at":"2019-03-29T09:01:29Z","abstract_excerpt":"We consider linear Hamiltonian equations in $\\mathbb{R}^{4}$ of the following type \\begin{equation}\n  \\frac{\\mathrm{d}\\gamma}{\\mathrm{d}t}(t)=J_{4}A(t)\\gamma(t), \\gamma(0)\\in\\operatorname{Sp}(4,\\mathbb{R}), \\end{equation} where $J=J_{4}\\overset{\\text{def}}{=}\\begin{bmatrix}0 & \\operatorname{Id}_2\\\\-\\operatorname{Id}_2 & 0\\end{bmatrix}$ and $A:t\\mapsto A(t)$ is a $C^1$-continuous curve in the space of $4\\times 4$ real matrices which are symmetric. We obtain second order asymptotics for the eigenvalues bifurcated from non-real Krein indefinite eigenvalues with multiplicity two."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12403","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}