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- W2949203242 abstract "A difference analogue of the logistic equation, which preserves integrability, is derived from Hirota's bilinear difference equation. The integrability of the map is shown to result from the large symmetry associated with the Backlund transformation of the KP hierarchy. We introduce a scheme which interpolates between this map and the standard logistic map and enables us to study integrable and nonintegrable systems on an equal basis. In particular we study the behavior of Julia set at the point where the nonintegrable map passes to the integrable map." @default.
- W2949203242 created "2019-06-27" @default.
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- W2949203242 date "1994-10-24" @default.
- W2949203242 modified "2023-09-23" @default.
- W2949203242 title "Integrable Difference Analogue of the Logistic Equation and Backlund Transformation of the KP Hierarchy" @default.
- W2949203242 doi "https://doi.org/10.48550/arxiv.hep-th/9410175" @default.
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