{"paper":{"title":"Variational principle for contact Hamiltonian systems and its applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DS","authors_text":"Jun Yan, Kaizhi Wang, Lin Wang","submitted_at":"2017-02-15T03:04:26Z","abstract_excerpt":"In \\cite{WWY}, the authors provided an implicit variational principle for the contact Hamilton's equations\n  \\begin{align*} \\left\\{ \\begin{array}{l} \\dot{x}=\\frac{\\partial H}{\\partial p}(x,u,p),\\\\ \\dot{p}=-\\frac{\\partial H}{\\partial x}(x,u,p)-\\frac{\\partial H}{\\partial u}(x,u,p)p,\\quad (x,p,u)\\in T^*M\\times\\mathbf{R},\\\\ \\dot{u}=\\frac{\\partial H}{\\partial p}(x,u,p)\\cdot p-H(x,u,p), \\end{array} \\right. \\end{align*} where $M$ is a closed, connected and smooth manifold and $H=H(x,u,p)$ is strictly convex, superlinear in $p$ and Lipschitz in $u$. In the present paper, we focus on two applications o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04451","kind":"arxiv","version":2},"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"}