An analysis of a family of rational maps containing integrable and non-integrable difference analogue of the logistic equation

DOI10.1088/0305-4470/29/8/029zbMath0915.39010OpenAlexW2022902940MaRDI QIDQ4229792

Noriko Saitoh, Akinobu Shimizu, Katsuhiko Yoshida, Satoru Saito

Publication date: 26 April 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/8/029

zbMATH Keywords

iterationJulia setCantor setlogistic equationrational mapsintegrable mapsinformation dimensionsnonintegrable maps

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Iteration theory, iterative and composite equations (39B12) Discrete version of topics in analysis (39A12)

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