有附加项的广义扰动哈密顿系统的扰动保角不变性和梅绝热不变性

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2024-09-16 DOI:10.1111/sapm.12766

Haseeb Ur Rehman, Tooba Feroze

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引用次数: 0

摘要

本研究探讨了带有附加项的广义扰动哈密顿系统中扰动保角不变性与梅对称性之间的关系。得出了一个必要和充分条件，以确定扰动共形不变性是否可被视为近似的梅对称性。此外，还得到了梅氏绝热不变量。最后，通过一个例子展示了主要发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms

This study investigates the relationship between perturbed conformal invariance and Mei symmetry in the generalized perturbed Hamiltonian systems with additional terms. A necessary and sufficient condition is derived to determine whether perturbed conformal invariance can be considered an approximate Mei symmetry. Furthermore, the Mei adiabatic invariants are also obtained. Lastly, an example is presented to demonstrate the key findings.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.