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- Phase_space_method abstract "In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent differential equations. The method consists of first rewriting the equations as a system of differential equations that are first-order in time, by introducing additional variables. The original and the new variables form a vector in the phase space. The solution then becomes a curve in the phase space, parametrized by time. The curve is usually called a trajectory or an orbit. The differential equation is reformulated as a geometrical description of the curve, that is, as a differential equation in terms of the phase space variables only, without the original time parametrization. Finally, a solution in the phase space is transformed back into the original setting.The phase space method is used widely in physics. It can be applied, for example, to find traveling wave solutions of reaction-diffusion systems.".
- Phase_space_method wikiPageID "10416232".
- Phase_space_method wikiPageLength "1898".
- Phase_space_method wikiPageOutDegree "14".
- Phase_space_method wikiPageRevisionID "456599179".
- Phase_space_method wikiPageWikiLink Applied_mathematics.
- Phase_space_method wikiPageWikiLink Category:Dynamical_systems.
- Phase_space_method wikiPageWikiLink Category:Partial_differential_equations.
- Phase_space_method wikiPageWikiLink Curve.
- Phase_space_method wikiPageWikiLink Differential_equation.
- Phase_space_method wikiPageWikiLink Dynamical_system.
- Phase_space_method wikiPageWikiLink Fishers_equation.
- Phase_space_method wikiPageWikiLink Orbit_(dynamics).
- Phase_space_method wikiPageWikiLink Phase_space.
- Phase_space_method wikiPageWikiLink Physics.
- Phase_space_method wikiPageWikiLink Reaction–diffusion_system.
- Phase_space_method wikiPageWikiLink Trajectory.
- Phase_space_method wikiPageWikiLink Wave.
- Phase_space_method wikiPageWikiLinkText "Phase space method".
- Phase_space_method wikiPageWikiLinkText "phase space method".
- Phase_space_method wikiPageUsesTemplate Template:Mathapplied-stub.
- Phase_space_method subject Category:Dynamical_systems.
- Phase_space_method subject Category:Partial_differential_equations.
- Phase_space_method hypernym Technique.
- Phase_space_method type TopicalConcept.
- Phase_space_method type Field.
- Phase_space_method type Mechanic.
- Phase_space_method type Physic.
- Phase_space_method comment "In applied mathematics, the phase space method is a technique for constructing and analyzing solutions of dynamical systems, that is, solving time-dependent differential equations. The method consists of first rewriting the equations as a system of differential equations that are first-order in time, by introducing additional variables. The original and the new variables form a vector in the phase space. The solution then becomes a curve in the phase space, parametrized by time.".
- Phase_space_method label "Phase space method".
- Phase_space_method sameAs Q7180967.
- Phase_space_method sameAs 位相空間法.
- Phase_space_method sameAs m.02qc9cm.
- Phase_space_method sameAs Q7180967.
- Phase_space_method wasDerivedFrom Phase_space_method?oldid=456599179.
- Phase_space_method isPrimaryTopicOf Phase_space_method.