hamiltonian mechanics 中文意思是什麼
hamiltonian mechanics
解釋
哈密頓方程式- hamiltonian : adj. 【歷史】漢密爾頓主義的。n. 【歷史】漢密爾頓的追隨者。
- mechanics : n. pl. 1. 〈作單數用〉力學 〈cf. statics; kinetics; kinematics〉; 機械學。2. 〈作復數用〉結構；構成法；技巧。
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The main studies are as follows : ( 1 ) the hamiltonian mechanics and equations are deduced from the lagrange mechanics. the symplectic quality of the hamiltonian system is discussed. the formulations of the symplectic integrator method are constructed, especially the explicit symplectic schemes for the separable hamiltonian system and the symplectic partitioned runge - kutta ( prk ) method for the generic hamiltonian system
本文對該方法進行了初步的研究和計算應用，具體展開了以下幾方面的工作： （ 1 ）從lagrange力學出發引入hamilton力學和hamilton正則方程的概念，討論了hamilton系統的辛性質，給出了構造辛演算法的基本原理，並重點介紹了線性可分hamilton系統的顯式辛格式和一般hamilton系統的辛prk方法。 -
Matrices, vector and vector calculus, newtonian mechanics - single particle, oscillations, nonlinear oscillations and chaos, gravitation, some methods in the calculus of variations, hamilton ' s principles lagrangian and hamiltonian dynamics, central - force motion, dynamics of a system of particles, motion in a noninertia reference frame, dynamics of rigid body
矩陣和向量的計算、單一質點的牛頓力學、線性與非線性的振動運動、重力、微積分上的變分法介紹、哈密頓原理、拉氏及哈氏力學、連心力下的運動、質點系的運動力學、在非慣性座標中的運動、剛體的運動。 -
When we research the chaotic character of conservative system in classical mechanics, the easiest and most effective method is the poincare surface of section ( pos ) of the orbits in phase space which abide by the classical hamiltonian
人們研究經典保守系統的混沌特徵時，最簡便有效的方法是計算相空間軌道的龐加萊截面。 -
Hamiltonian systems arise widely in the fields of physics, mechanics, engineering, pure and applied mathematics, etc. it is generally accepted that all real physical processes with negligible dissipation could be expressed, in some way, by hamiltonian formalism, so that the research work for corresponding numerical methods is of important interest
Hamilton系統廣泛地出現於物理、力學、工程、純數學與應用數學等領域。通常可以認為，一切耗散效應可忽略的真實物理過程，都能夠以某一方式表達成哈氏方程的形式。從而，對其數值方法的研究無疑具有重要意義。
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