RT info:eu-repo/semantics/article
T1 A variational modification of the harmonic balance method to obtain approximate floquet exponents
A1 Gadella Urquiza, Manuel
A1 Lara, Luis Pedro
K1 Floquet exponents
K1 Harmonic balance
K1 Variational methods
K1 12 Matemáticas
AB We propose a modification of a method based on Fourier analysis to obtainthe Floquet characteristic exponents for periodic homogeneous linear systems,which shows a high precision. This modification uses a variational principle tofind the correct Floquet exponents among the solutions of an algebraic equation.Once we have these Floquet exponents, we determine explicit approximatedsolutions. We test our results on systems for which exact solutions are knownto verify the accuracy of our method including one-dimensional periodicpotentials of interest in quantum physics. Using the equivalent linear system,we also study approximate solutions for homogeneous linear equations withperiodic coefficients.
PB Wiley
SN 0170-4214
YR 2023
FD 2023
LK https://uvadoc.uva.es/handle/10324/58491
UL https://uvadoc.uva.es/handle/10324/58491
LA eng
NO Mathematical Methods in the Applied Sciences, 2023.
NO Producción Científica
DS UVaDOC
RD 24-nov-2024