symplectic manifold 中文意思是什麼
symplectic manifold
解釋
辛流形- symplectic : 偶對的
- manifold : adj 1 許多的；種種的，多樣的，多方面的，五花八門。2 由許多部分形成的。n 1 復寫本。2 【機械工程】...
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In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。
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