2024-09-09T14:27:29Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/584912023-03-22T15:26:39Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
00925njm 22002777a 4500
dc
Gadella Urquiza, Manuel
author
Lara, Luis Pedro
author
2023
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.
Mathematical Methods in the Applied Sciences, 2023.
0170-4214
https://uvadoc.uva.es/handle/10324/58491
10.1002/mma.9029
Mathematical Methods in the Applied Sciences
1099-1476
A variational modification of the harmonic balance method to obtain approximate floquet exponents