- Hamiltonian system
In

classical mechanics , a**Hamiltonian system**is aphysical system in whichforce s arevelocity invariant. Hamiltonian systems are studied inHamiltonian mechanics .In

mathematics , a Hamiltonian system is a system ofdifferential equation s which can be written in the form ofHamilton's equations . Hamiltonian systems are usually formulated in terms ofHamiltonian vector field s on asymplectic manifold orPoisson manifold . Hamiltonian systems are a special case ofdynamical system s.**Examples***

Dynamical billiards

*Planetary system s**ee also***

Action-angle coordinates

* Liouville's theorem

*Integrable system

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**Hamiltonian system**— Hamiltono sistema statusas T sritis fizika atitikmenys: angl. Hamiltonian system vok. Hamiltonsches System, n rus. гамильтонова система, f pranc. système d’Hamilton, m … Fizikos terminų žodynas**HAMILTONIAN SYSTEM**— a system of teaching languages by interlinear translation … The Nuttall Encyclopaedia**Hamiltonian mechanics**— is a re formulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. It arose from Lagrangian mechanics, a previous re formulation of classical mechanics introduced by Joseph Louis Lagrange in 1788 … Wikipedia**Hamiltonian**— may refer toIn mathematics : * Hamiltonian system * Hamiltonian path, in graph theory * Hamiltonian group, in group theory * Hamiltonian (control theory) * Hamiltonian matrix * Hamiltonian flow * Hamiltonian vector field * Hamiltonian numbers (or … Wikipedia**Hamiltonian (quantum mechanics)**— In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system.… … Wikipedia**Hamiltonian path**— This article is about the overall graph theory concept of a Hamiltonian path. For the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph, see Hamiltonian path problem. A Hamiltonian cycle in a dodecahedron … Wikipedia**hamiltonian**— I. | ̷ ̷ ̷ ̷|tōnēən, ōnyən adjective Usage: usually capitalized 1. [Alexander Hamilton died 1804 American statesman + English ian] 1. : of or relating to the statesman Hamilton or to his political and social doctrines or program characterized by… … Useful english dictionary**Hamiltonian function**— ▪ physics also called Hamiltonian, mathematical definition introduced in 1835 by Sir William Rowan Hamilton (Hamilton, Sir William Rowan) to express the rate of change in time of the condition of a dynamic physical system one regarded as … Universalium**Hamiltonian (control theory)**— The Hamiltonian of optimal control theory was developed by L. S. Pontryagin as part of his minimum principle. It was inspired by, but is distinct from, the Hamiltonian of classical mechanics. Pontryagin proved that a necessary condition for… … Wikipedia**Hamiltonian economic program**— The Hamiltonian economic program was the set of measures that were proposed by American Founding Father and 1st Secretary of the Treasury Alexander Hamilton in three notable reports and implemented by Congress during George Washington s first… … Wikipedia