Floquet theory as a computational tool
WebThese mathematical and computational tools and related datasets will support policy makers for educational institutions, large companies, and governing bodies as they manage the economic and health impacts of COVID-19 as well as future pandemics. ... The first goal of the project is to extend Floquet theory of ordinary differential equations to ... WebFLOQUET THEORY AS A COMPUTATIONAL TOOL* GERALD MNOOREt Abstract. We describe how classical Floquet theory may be utilized, in a continuation frame-work, to …
Floquet theory as a computational tool
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WebWe describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each continuation step, only a single square matrix, whose size equals the dimension of the phase-space, needs to be factorized; the rest of the required numerical ... WebDec 15, 2013 · The function u in (7) is a Floquet–Bloch mode in (2) if the propagation vectors satisfy β x = β x + 2 π l x d x, β y = β y + 2 π l y d y, for integer ( l x, l y). Hence the k -values found for any β are also part of the Floquet–Bloch spectrum of β as long as the above relationship between β and β is satisfied.
WebApr 1, 2016 · Section snippets Theoretical background. Floquet states. We consider quantum systems whose dynamics is determined by the time-dependent Schrödinger … WebJan 1, 2005 · Download Citation Floquet Theory as a Computational Tool We describe how classical Floquet theory may be utilized, in a continuation frame- work, to construct …
WebMar 17, 2024 · Floquet topological superconductivity induced by chiral many-body interaction. Driving quantum materials into non-equilibrium states using light-matter interactions is a way to induce novel ...
WebMar 31, 2024 · The main tool for studying the stability of periodic orbits using Floquet theory is the principal fundamental matrix or the monodromy matrix M. This matrix plays a key role in the accurate stability analysis of switching systems [34,35,36]. The dynamics in the vicinity of a quasi-static periodic orbit can be expressed in the monodromy matrix as ...
WebNov 11, 2024 · Abstract. In this work, the authors draw comparisons between the Floquet theory and Normal Forms technique and apply them towards the investigation of stability bounds for linear time periodic systems. Though the Normal Forms technique has been predominantly used for the analysis of nonlinear equations, in this work, the authors … pinckney shipWebJun 19, 2024 · Through application of Bloch-Floquet theory, we show that modal coupling between degenerate resonances of a ring can effectively be described as the formation of photonic frequency bands in the dispersion relation of the resonator. ... The numerical prediction of Eq. as compared to FDE and FDTD computational results for various … pinckney spangler funeral home washington dcWebFloquet Theory and Stability In this chapter, the free-input periodic system x(t +1)=A(t)x(t) (3.1) is considered, with A(t)of constant dimension n×n. First, the properties of the mon-odromy matrix are pointed out. This opens the way to the celebrated Floquet theory, which deals with the problem of finding a periodic state–space ... pinckney spooktacularWebMar 22, 2024 · Auburn University. Jan 2015 - May 20244 years 5 months. Auburn, Alabama. As a doctoral student, I served as a Graduate Teaching Assistant for several courses such as. • Kinematics and Dynamics ... top luxury hotels in barcelona spainWebFeb 17, 2024 · The authors develop a general method for the computation of temporal correlation functions and the corresponding spectra in time-periodic open quantum … top luxury hotels in belizeWebMar 30, 2024 · For this purpose, the Floquet theory provides us a recipe of obtaining a static effective Hamiltonian. Although many existing works have treated closed systems, … pinckney st bostonWebNov 9, 2024 · Parametrically excited linear systems with oscillatory coefficients have been generally modeled by Mathieu or Hill equations (periodic coefficients) because their stability and response can be determined by Floquét theory. However, in many cases, the parametric excitation is not periodic but consists of frequencies that are incommensurate, … pinckney st madison fl