Explore: Floquet Theorem

of the stability of solutions. The main theorem of Floquet theory, Floquet's theorem, due to Gaston Floquet (1883), gives a canonical form for each fundamental

terms of the Floquet picture, i.e. roughly like an atom or a molecule plus a photon. The Floquet picture is based on the Floquet theorem in differential

ordinary differential equations, it is called Floquet theory (or occasionally the Lyapunov–Floquet theorem). The general form of a one-dimensional periodic

equations with periodic coefficients, called Floquet theory. The central result is Floquet's theorem: Floquet's theorem—Mathieu's equation always has at least

equations) Floquet's theorem (differential equations) Fuchs's theorem (differential equations) Kharitonov's theorem (control theory) Kneser's theorem (differential

the force on the ion. This equation can be exactly solved using the Floquet theorem or the standard techniques of multiple scale analysis. The particle

The method is based on Floquet's theorem that the solutions of periodic differential equations can be expanded with Floquet functions (or sometimes referred

coupled-wave analysis — semi-analytical Fourier-space method based on Floquet's theorem Transmission-line matrix method (TLM) — based on analogy between electromagnetic

t),} where ξ {\displaystyle \xi } here represents all coordinates. Floquet's theorem guarantees that the solutions to an equation of this form can be written

resonance Tidal resonance Oscillator Harmonic oscillator Electronic oscillator Floquet theory Fundamental frequency Oscillation (Vibration) Fundamental matrix