{"paper":{"title":"Chaos in Dynamics of a Family of Transcendental Meromorphic Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DS","authors_text":"G. P. Kapoor, M. Sajid","submitted_at":"2014-09-07T21:04:57Z","abstract_excerpt":"The characterization and properties of Julia sets of one parameter family of transcendental meromorphic functions $\\zeta_\\lambda(z)=\\lambda \\frac{z}{z+1} e^{-z}$, $\\lambda >0$, $z\\in \\mathbb{C}$ is investigated in the present paper. It is found that bifurcations in the dynamics of $\\zeta_\\lambda(x)$, $x\\in {\\mathbb{R}}\\setminus \\{-1\\}$, occur at several parameter values and the dynamics of the family becomes chaotic when the parameter $\\lambda$ crosses certain values. The Lyapunov exponent of $\\zeta_\\lambda(x)$ for certain values of the parameter $\\lambda$ is computed for quantifying the chaos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.2166","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"}