具有阿贝尔动量各向同性的哈密顿相对平衡中的连续奇点

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Geometric Mechanics Pub Date : 2020-01-01 DOI:10.3934/jgm.2020019

M. Rodríguez-Olmos

引用次数: 0

摘要

我们研究了围绕哈密顿相对平衡的定性动力学的几个方面。我们特别关注连续奇点的作用及其对其稳定性、持续性和分岔的影响。我们的方法是半全局的，广泛使用Marle, Guillemin和Sternberg的哈密顿管。

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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Continuous singularities in hamiltonian relative equilibria with abelian momentum isotropy

We survey several aspects of the qualitative dynamics around Hamiltonian relative equilibria. We pay special attention to the role of continuous singularities and its effect in their stability, persistence and bifurcations. Our approach is semi-global using extensively the Hamiltonian tube of Marle, Guillemin and Sternberg.

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来源期刊

Journal of Geometric Mechanics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal: 1. Lagrangian and Hamiltonian mechanics 2. Symplectic and Poisson geometry and their applications to mechanics 3. Geometric and optimal control theory 4. Geometric and variational integration 5. Geometry of stochastic systems 6. Geometric methods in dynamical systems 7. Continuum mechanics 8. Classical field theory 9. Fluid mechanics 10. Infinite-dimensional dynamical systems 11. Quantum mechanics and quantum information theory 12. Applications in physics, technology, engineering and the biological sciences.