Exactly solvable chaos and addition theorems of elliptic functions

dc.creatorUmeno, Ken
dc.date1997-04-04
dc.date1998-12-24
dc.date.accessioned2026-07-07T08:58:33Z
dc.date.available2026-07-07T08:58:33Z
dc.descriptionA unified view is given to recent developments about a systematic method of constructing rational mappings as ergodic transformations with non-uniform invariant measures on the unit interval I=[0,1]. All of the rational ergodic mappings of I with explicit non-uniform invariant densities can be obtained by addition theorems of elliptic functions. It is shown here that the class of the rational ergodic mappings I->I are essentially same as the permutable rational functions obtained by J. F. Ritt.
dc.description14 pages, Latex. typos corrected, comments related to permutable rational functions of J.F. Ritt added
dc.identifierhttps://arxiv.org/abs/chao-dyn/9704007
dc.identifierhttp://arxiv.org/abs/chao-dyn/9704007
dc.identifierRIMS Kokyuroku No. 1098 (1999),pp.104-117.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147368
dc.subjectChaotic Dynamics
dc.titleExactly solvable chaos and addition theorems of elliptic functions
dc.typetext

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