薛定谔映射方程的伪随机性

IF 1.2 4区 数学 Q2 MATHEMATICS, APPLIED Acta Applicandae Mathematicae Pub Date : 2024-10-07 DOI:10.1007/s10440-024-00687-6
Sandeep Kumar
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引用次数: 0

摘要

通过考虑薛定谔映射方程(一种几何偏微分方程)在欧几里得空间和双曲空间中对规则多边形曲线的演化,介绍了该方程的独特行为。研究结果与涡丝方程的结果一致,涡丝方程是薛定谔映射方程在欧几里得空间的等效形式。因此,对于给定环境中所有可能的正多边形选择,我们的分析不仅为其作为伪随机数生成器的有用性提供了新的扩展,而且也是对现有结果的补充。
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Pseudorandomness of the Schrödinger Map Equation

A unique behaviour of the Schrödinger map equation, a geometric partial differential equation, is presented by considering its evolution for regular polygonal curves in both Euclidean and hyperbolic spaces. The results are consistent with those for the vortex filament equation, an equivalent form of the Schrödinger map equation in the Euclidean space. Thus, with all possible choices of regular polygons in a given setting, our analysis not only provides a novel extension to its usefulness as a pseudorandom number generator but also complements the existing results.

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来源期刊
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae 数学-应用数学
CiteScore
2.80
自引率
6.20%
发文量
77
审稿时长
16.2 months
期刊介绍: Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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