Ergodic theory | Dynamical systems

Conservative system

In mathematics, a conservative system is a dynamical system which stands in contrast to a dissipative system. Roughly speaking, such systems have no friction or other mechanism to dissipate the dynamics, and thus, their phase space does not shrink over time. Precisely speaking, they are those dynamical systems that have a null wandering set: under time evolution, no portion of the phase space ever "wanders away", never to be returned to or revisited. Alternately, conservative systems are those to which the Poincaré recurrence theorem applies. An important special case of conservative systems are the measure-preserving dynamical systems. (Wikipedia).

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From playlist AP Physics 1 - EVERYTHING!!

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From playlist Lecture Collection | Modern Physics: Statistical Mechanics

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Related pages

Dissipative system | Bernoulli process | Mathematics | Set (mathematics) | Dynamical system | Phase space | Measure (mathematics) | Liouville's theorem (Hamiltonian) | Conull set | Null set | Wandering set | Hopf decomposition | Mixing (mathematics) | Measurable function | Singular measure | Measurable space | Poincaré recurrence theorem | Measure-preserving dynamical system