Differential equations | Dynamical systems

Conserved quantity

In mathematics, a conserved quantity of a dynamical system is a function of the dependent variables, the value of which remains constant along each trajectory of the system. Not all systems have conserved quantities, and conserved quantities are not unique, since one can always produce another such quantity by applying a suitable function, such as adding a constant, to a conserved quantity. Since many laws of physics express some kind of conservation, conserved quantities commonly exist in mathematical models of physical systems. For example, any classical mechanics model will have mechanical energy as a conserved quantity as long as the forces involved are conservative. (Wikipedia).

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From playlist Quantum Mechanics, Quantum Field Theory

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From playlist MECHANICS

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From playlist New AP & General Chemistry Video Playlist

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From playlist Physics ONE

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From playlist Mechanics, Elasticity, Fluids, Diffusion

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From playlist Physics

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From playlist 04. Chemistry and Physics

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From playlist Papers Explained

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From playlist Mathematics

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From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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From playlist Your Daily Equation with Brian Greene

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From playlist Lecture Collection | Modern Physics: Statistical Mechanics

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From playlist Math

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Related pages

Conservative system | Differential equation | Conservation law | Hamiltonian system | Dynamical system | Linear function (calculus) | Hamiltonian mechanics | Invariant (physics) | Noether's theorem | Euclidean vector | Poisson bracket | Chain rule | Constant (mathematics) | Lyapunov function