Floquet Theory for Quaternion-Valued Differential Equations
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00355-8
Abstract: This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficients is presented and the stability of quaternionic periodic systems is accordingly… read more here.
Keywords: theory quaternion; differential equations; quaternion valued; valued differential ... See more keywords
Poincaré maps for multiscale physics discovery and nonlinear Floquet theory
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132479
Abstract: Abstract Poincare maps are an integral aspect to our understanding and analysis of nonlinear dynamical systems. Despite this fact, the construction of these maps remains elusive and is primarily left to simple motivating examples. In… read more here.
Keywords: poincar maps; maps multiscale; nonlinear floquet; physics ... See more keywords
Floquet theory in magnetic resonance: Formalism and applications.
Sign Up to like & getrecommendations! Published in 2021 at "Progress in nuclear magnetic resonance spectroscopy"
DOI: 10.1016/j.pnmrs.2021.05.002
Abstract: Floquet theory is an elegant mathematical formalism originally developed to solve time-dependent differential equations. Besides other fields, it has found applications in optical spectroscopy and nuclear magnetic resonance (NMR). This review attempts to give a… read more here.
Keywords: theory magnetic; spectroscopy; magnetic resonance; formalism ... See more keywords
Floquet theory of spin dynamics under circularly polarized light pulses
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review A"
DOI: 10.1103/physreva.105.043106
Abstract: Within the Floquet theory of periodically driven quantum systems, the nonlinear single-spin dynamics under pulse of a circularly polarized electromagnetic field is analyzed. It is demonstrated that the field, first, lifts the spin degeneracy and,… read more here.
Keywords: floquet theory; circularly polarized; spin dynamics; theory spin ... See more keywords
Floquet engineering of Haldane Chern insulators and chiral bosonic phase transitions
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.95.045102
Abstract: The realization of synthetic gauge fields has attracted a lot of attention recently in relation to periodically driven systems and the Floquet theory. In ultracold atom systems in optical lattices and photonic networks, this allows… read more here.
Keywords: phase; haldane; engineering haldane; haldane chern ... See more keywords
Floquet Theory for Linear Time-Periodic Delay Differential Equations Using Orthonormal History Functions
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4062633
Abstract: In the usual approach to determining the stability of a time-periodic delay differential equation (DDE), the DDE is converted into an approximate system of time-periodic ordinary differential equations (ODEs) using Galerkin approximations. Later, Floquet theory… read more here.
Keywords: time; floquet theory; periodic delay; time periodic ... See more keywords
Chaos and Stability of Spur Gear Transmission System for Locomotive Based on Energy Method and Floquet Theory
Sign Up to like & getrecommendations! Published in 2018 at "Shock and Vibration"
DOI: 10.1155/2018/5691892
Abstract: Considering the internal and external excitations such as time-varying mesh stiffness (TVMS), backlash, transmission error, torque of the traction motor, and load torque of the wheel/rail, a lumped mass model of the spur gear drive… read more here.
Keywords: transmission system; system; transmission; floquet theory ... See more keywords