{"paper":{"title":"Predictability in Systems with Many Characteristic Times: The Case of Turbulence","license":"","headline":"","cross_cats":["cond-mat","nlin.CD"],"primary_cat":"chao-dyn","authors_text":"A. Crisanti, A. Vulpiani, E. Aurell, G. Boffetta, G. Paladin","submitted_at":"1995-05-10T10:44:22Z","abstract_excerpt":"In chaotic dynamical systems, an infinitesimal perturbation is exponentially amplified at a time-rate given by the inverse of the maximum  Lyapunov exponent $\\lambda$. In fully developed turbulence, $\\lambda$ grows as a power of the Reynolds number. This result could seem in contrast with phenomenological arguments suggesting that, as a consequence of `physical'  perturbations, the predictability time is  roughly given by the characteristic life-time of the large  scale structures, and hence independent of the Reynolds number. We show that such a situation is present in generic systems with ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9505005","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"}