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Lotka-Volterra Equation over a Finite Ring Z/p^N Z

Shigeki Matsutani
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Abstract

Discrete Lotka-Volterra equation over $p$-adic space was constructed since $p$-adic space is a prototype of spaces with the non-Archimedean valuations and the space given by taking ultra-discrete limit studied in soliton theory should be regarded as a space with the non-Archimedean valuations in the previous report (solv-int/9906011). In this article, using the natural projection from $p$-adic integer to a ring $Z/p^n Z$, a soliton equation is defined over the ring. Numerical computations shows that it behaves regularly.

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Shigeki Matsutani. 2001-03-04. Lotka-Volterra Equation over a Finite Ring Z/p^N Z. https://doi.org/10.1088/0305-4470%2F34%2F48%2F335

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