Ultradiscrete hard-spring equation and its phase plane analysis
نویسندگان
چکیده
Abstract Ultradiscretization enables us to construct a piecewise linear equation which approximates given subtraction-free difference equation. Recently proposed “ultradiscretization with parity variables” (pUD) can treat an subtraction. However, its solution may have infinite number of branches under some specific conditions. In this paper, solutions pUD for the hard-spring is investigated. The reinterpreted as mapping maps set on phase plane another one, and behaviour are analyzed through approximative transition diagrams.As result, translated into few finite allowed easier understanding.
منابع مشابه
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ژورنال
عنوان ژورنال: Japan Journal of Industrial and Applied Mathematics
سال: 2023
ISSN: ['0916-7005', '1868-937X']
DOI: https://doi.org/10.1007/s13160-023-00568-9