Floquet theorem

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Floquet theorem

[flō′kā ‚thir·əm]
(mathematics)
A second-order linear differential equation whose coefficients are periodic single-valued functions of an independent variable x has a solution of the form e μ x P (x) where μ is a constant and P (x) a periodic function.
References in periodicals archive ?
Figure 3 shows the predicted frequency response of Unit Cell I based on the Floquet theory and the simulation result of an ideal Salisbury screen for comparison.
Yet the problem of the curved FSS of a radome is critical since the surface periodicity is disrupted as the periodic cell cannot be deformed without significantly altering its frequency behavior and hence Floquet theory cannot be applied at all; applications to curved FSS, when available, are anyway limited or quite complex to implement [33].
Ershova, "Analysis of the energy transmission in compound cylindrical shells with and without internal heavy fluid loading by boundary integral equations and by Floquet theory," Journal of Sound and Vibration, Vol.
of Dayton, Ohio) introduce students and researchers to various spectral computational techniques, including k-space theory, Floquet theory, transfer matrix method, and beam propagation methods.
DaCunha, Lyapunov stability and Floquet theory for nonautonomous linear dynamic systems on time scales, PhD dissertation, (2004), Baylor University.
The Floquet theory now leads to a simple, and possibly more intuitive, characterisation of small solutions to multi-term delay equations.
The sub-wavelength-FSS-based model [21] is derived approximating the Floquet theory under the assumption that the periodicity is few tenths of the operating wavelength.