{"paper":{"title":"Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Jonathan F. Donges, J\\\"urgen Kurths, Norbert Marwan, Reik V. Donner, Yong Zou","submitted_at":"2010-11-23T17:31:50Z","abstract_excerpt":"The identification of complex periodic windows in the  two-dimensional parameter space of certain dynamical systems has  recently attracted considerable interest. While for discrete  systems, a discrimination between periodic and chaotic windows can  be easily made based on the maximum Lyapunov exponent of the system, this remains a challenging task for continuous systems, especially  if only short time series are available (e.g., in case of experimental data). In this work, we demonstrate that nonlinear  measures based on recurrence plots obtained from such trajectories  provide a practicable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5172","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"}