AI 中文总结
研究哈密顿系统具有端口哈密顿重构的条件，通过确定拓扑和动力学条件，发现其可达到的分辨率随因子流形数量指数增长，且受原始哈密顿量简并性限制。
AI 中文摘要
我们确定了哈密顿系统具有端口哈密顿重构的拓扑和动力学条件，其结构细节分辨率不断提高，而这些细节在哈密顿理论中是隐藏的。我们发现，原则上可达到的分辨率随着规范哈密顿系统构型空间分解成的因子流形数量呈指数增长，并且仅受原始哈密顿量简并性的限制。
英文摘要
We identify the topological and dynamical conditions for a Hamiltonian system to possess port-Hamiltonian reformulations with increasing resolution of structural detail that remains hidden in the Hamiltonian theory. We find that the principally attainable resolution grows exponentially with the number of factor manifolds into which the configuration space of a canonical Hamiltonian system decomposes and is tempered only by degeneracies of the original Hamiltonian.
Comments28 pages, 6 figures
