{"paper":{"title":"Integrable approximation of regular regions with a nonlinear resonance chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"nlin.CD","authors_text":"2, 2), 2) ((1) Technische Universit\\\"at Dresden, (2) Max-Planck-Institut f\\\"ur Physik komplexer Systeme, 3), (3) Institut f\\\"ur Theoretische Physik, 4), (4) Department of Physics, Arnd B\\\"acker (1, Center for Dynamics, Clemens L\\\"obner (1, Institut f\\\"ur Theoretische Physik, Julius Kullig (1, Normann Mertig (1, Roland Ketzmerick (1, Tokyo Metropolitan University), Universit\\\"at Magdeburg","submitted_at":"2014-07-09T14:54:41Z","abstract_excerpt":"Generic Hamiltonian systems have a mixed phase space where regions of regular and chaotic motion coexist. We present a method for constructing an integrable approximation to such regular phase-space regions including a nonlinear resonance chain. This approach generalizes the recently introduced iterative canonical transformation method. In the first step of the method a normal-form Hamiltonian with a resonance chain is adapted such that actions and frequencies match with those of the non-integrable system. In the second step a sequence of canonical transformations is applied to the integrable "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2513","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"}