{"paper":{"title":"Whiskered KAM Tori of Conformally Symplectic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alessandra Celletti, Rafael de la Llave, Renato C. Calleja","submitted_at":"2019-01-18T02:18:11Z","abstract_excerpt":"We investigate the existence of whiskered tori in some dissipative systems, called \\sl conformally symplectic \\rm systems, having the property that they transform the symplectic form into a multiple of itself. We consider a family $f_\\mu$ of conformally symplectic maps which depend on a drift parameter $\\mu$.\n  We fix a Diophantine frequency of the torus and we assume to have a drift $\\mu_0$ and an embedding of the torus $K_0$, which satisfy approximately the invariance equation $f_{\\mu_0} \\circ K_0 - K_0 \\circ T_\\omega$ (where $T_\\omega$ denotes the shift by $\\omega$). We also assume to have "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.06059","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"}