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- Floquet_theory abstract "Floquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the formwith a piecewise continuous periodic function with period . The main theorem of Floquet theory, Floquet's theorem, due to Gaston Floquet (1883), gives a canonical form for each fundamental matrix solution of this common linear system. It gives a coordinate change with that transforms the periodic system to a traditional linear system with constant, real coefficients. In solid-state physics, the analogous result (specialized to three dimensions) is known as Bloch's theorem.Note that the solutions of the linear differential equation form a vector space. A matrix is called a fundamental matrix solution if all columns are linearly independent solutions. A matrix is called a principal fundamental matrix solution if all columns are linearly independent solutions and there exists such that is the identity. A principal fundamental matrix can be constructed from a fundamental matrix using . The solution of the linear differential equation with the initial condition is where is any fundamental matrix solution.".
- Floquet_theory wikiPageExternalLink ASENS_1883_2_12__47_0.pdf.
- Floquet_theory wikiPageExternalLink book-ode.
- Floquet_theory wikiPageID "2987843".
- Floquet_theory wikiPageRevisionID "604800006".
- Floquet_theory authorlink "Gaston Floquet".
- Floquet_theory first "Gaston".
- Floquet_theory hasPhotoCollection Floquet_theory.
- Floquet_theory id "p/f040640".
- Floquet_theory last "Floquet".
- Floquet_theory title "Floquet theory".
- Floquet_theory year "1883".
- Floquet_theory subject Category:Differential_equations.
- Floquet_theory subject Category:Dynamical_systems.
- Floquet_theory type Abstraction100002137.
- Floquet_theory type Attribute100024264.
- Floquet_theory type Communication100033020.
- Floquet_theory type DifferentialEquation106670521.
- Floquet_theory type DifferentialEquations.
- Floquet_theory type DynamicalSystem106246361.
- Floquet_theory type DynamicalSystems.
- Floquet_theory type Equation106669864.
- Floquet_theory type MathematicalStatement106732169.
- Floquet_theory type Message106598915.
- Floquet_theory type PhaseSpace100029114.
- Floquet_theory type Space100028651.
- Floquet_theory type Statement106722453.
- Floquet_theory comment "Floquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the formwith a piecewise continuous periodic function with period . The main theorem of Floquet theory, Floquet's theorem, due to Gaston Floquet (1883), gives a canonical form for each fundamental matrix solution of this common linear system.".
- Floquet_theory label "Floquet theory".
- Floquet_theory label "Satz von Floquet".
- Floquet_theory label "Teorema di Floquet".
- Floquet_theory label "Théorème de Floquet".
- Floquet_theory label "フロケ理論".
- Floquet_theory label "弗洛凱理論".
- Floquet_theory sameAs Satz_von_Floquet.
- Floquet_theory sameAs Théorème_de_Floquet.
- Floquet_theory sameAs Teorema_di_Floquet.
- Floquet_theory sameAs フロケ理論.
- Floquet_theory sameAs m.08hzwp.
- Floquet_theory sameAs Q902618.
- Floquet_theory sameAs Q902618.
- Floquet_theory sameAs Floquet_theory.
- Floquet_theory wasDerivedFrom Floquet_theory?oldid=604800006.
- Floquet_theory isPrimaryTopicOf Floquet_theory.