{"paper":{"title":"A q-deformed logistic map and its implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"R.Parthasarathy, Subhashish Banerjee","submitted_at":"2010-03-31T09:13:42Z","abstract_excerpt":"A new  q-deformed logistic map is  proposed and it is  found to have concavity in  parts of the  x-space.  Its one-cycle  and two-cycle non-trivial  fixed  points  are  obtained  which  are  found  to  be qualitatively and  quantitatively different from those  of the usual logistic map. The stability of the proposed q-logistic map is studied using  Lyapunov exponent  and  with a  change  in the  value of  the deformation parameter q, one  is able to  go from the  chaotic to regular dynamical regime. The implications of this q-logistic map on Parrondo's paradox are examined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5994","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"}