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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 wikiPageRevisionID "456599179".
- Phase_space_method hasPhotoCollection Phase_space_method.
- Phase_space_method subject Category:Dynamical_systems.
- Phase_space_method subject Category:Partial_differential_equations.
- Phase_space_method type Abstraction100002137.
- Phase_space_method type Attribute100024264.
- Phase_space_method type Communication100033020.
- Phase_space_method type DifferentialEquation106670521.
- Phase_space_method type DynamicalSystem106246361.
- Phase_space_method type DynamicalSystems.
- Phase_space_method type Equation106669864.
- Phase_space_method type MathematicalStatement106732169.
- Phase_space_method type Message106598915.
- Phase_space_method type PartialDifferentialEquation106670866.
- Phase_space_method type PartialDifferentialEquations.
- Phase_space_method type PhaseSpace100029114.
- Phase_space_method type Space100028651.
- Phase_space_method type Statement106722453.
- 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 label "位相空間法".
- Phase_space_method sameAs 位相空間法.
- Phase_space_method sameAs m.02qc9cm.
- Phase_space_method sameAs Q7180967.
- Phase_space_method sameAs Q7180967.
- Phase_space_method sameAs Phase_space_method.
- Phase_space_method wasDerivedFrom Phase_space_method?oldid=456599179.
- Phase_space_method isPrimaryTopicOf Phase_space_method.