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Showing 1 to 20 of 33 for “"Floquet Theory"”.
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Floquet Theory on Banach Space
<p>In this thesis we study Floquet theory on a Banach space. We are concerned about the linear differential equation of the form: <em>y'</em>(<em>t</em>) = <em>A</em>(<em>t</em>)<em>y</em>(<em>t</em>), where t ∈ R, <em>y</em>(<em>t</em>) is a function with values in a Banach space <em>X</em>, and …
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Floquet theory of electronic stopping processes of projectiles in solids
… gas, which assume ideal metal hosts. The theory exploits a discrete symmetry in the trajectory of the projectile following a direction of crystalline periodicity, which allows a treatment based on Floquet theory for time-periodic systems. Floquet theory allows to find the solutions of …
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Nonlinear and non-modal stability of structures evolving in shear flows
… in rotating plane Couette flow is analyzed using Floquet theory, which allows the global stability of an important secondary nonlinear structure called a Taylor vortex to be determined. From this the distinct tertiary states which emerge as Taylor vortices break down are characterized and their …
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Deterministic and stochastic responses of nonlinear systems
… the amplitude-and phase-modulation equations. Floquet theory is used to analyze the stability of periodic responses. The perturbation results are verified by integrating the governing equation using both digital and analog computers. For small excitation amplitudes, the analytical results are …
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Nonlinear Vibrations of Doubly Curved Cross-PLy Shallow Shells
… the von K\'{a}rm\'{a}n-type geometric nonlinear theory and the first-order shear-deformation theory, they are developed by using a variational approach. Many approximate shell theories are presented. We used two approaches to study the responses of shells to a primary resonance: a $direct$ …
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Spectral properties of planar helium under periodic driving
… driving. Our ab initio approach combines Floquet theory, complex dilation, and the representation of the Hamiltonian in suitably chosen coordinates without adjustable parameters. The resulting complex-symmetric, sparse banded generalized eigenvalue problem of rather high dimension is …
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Studies on secondary instabilities
… of a spectral collocation method Following Floquet theory, previous analysis looked for subharmonic (wavelength 2 λ) and fundamental (wavelength λ) types of solutions. We extend the Floquet theory to solutions having arbitrary wavelengths, hence including the previous solutions as special …
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Mathematical Models of Chemotherapy
… in the area of dynamical systems in particular Floquet Theory. These methods are used on either a single equation or a system of periodic ordinary differential equations which model the chemotherapeutic process. These are reduced to difference equations that describe the state of the cancer at …
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Flapping Wing Flight Dynamic Modeling
… and examined using stroke-averaged and Floquet theory. Inflow and viscous effects are added and their effects on trim and stability examined. The effects of varying hinge location and the inclusion of stroke deviation in the wing kinematics are also explored. The stroke-averaged system …
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An investigation of flow-induced vibrations of a steam-generator tube
… is used to calculate periodic solutions and Floquet theory is used to study their stability. Poincare sections and bifurcation diagrams are used to study non-periodic solutions. Furthermore. for this autonomous system, the method of harmonic balance appears to be less suited than the …
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Periodic q-difference equations
… are presented, namely as follows. First, Floquet theory for q-difference equations is established. Second, the Cushing-Henson conjecture is proved for periodic solutions of the Beverton-Holt q-difference equation, resulting in applications in the study of biology, in particular population …
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Techniques for engineering quantum states
… adiabatic radio frequency potentials where I use Floquet theory to more accurately model situations where frequencies are close and/or field amplitudes are large. I also show how one can create highly versatile 2D adiabatic radio frequency potentials using multiple radio frequency fields with …
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Local and Global Stability and Dynamics of a Class of Nonlinear Time-Delayed One-Degree-of-Freedom Systems
… small- and large-amplitude limit cycles and use Floquet theory to ascertain their stability and hence generate global bifurcation diagrams. We validate these diagrams using numerical simulations. We apply the results to two important physical problems: machine-tool chatter in lathes and control …
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Coupled orbit-attitude mission design in the circular restricted three-body problem
… periodic solutions in this model. Application of Floquet theory, Poincaré mapping, and grid search to identify initial guesses for the targeting algorithm is described. In the Earth-Moon system, representative scenarios are explored for axisymmetric vehicles with various inertia characteristics, …
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Interacting atoms in time-dependent potentials and artificial gauge fields
… arising in these models. Using the framework of Floquet theory it studies the interplay of time-dependence and particle-interactions both in continuum and lattice systems. In particular, it provides a general explanation for how heating effects can arise in interacting periodically time-dependent …
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Semi-Analytical Model to Study Vibrations of High-Speed, Rotating Axisymmetric Bodies Coupled to Other Rotating/ Stationary Structures
… method compares well with numerical results from Floquet theory.
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Modeling, Dynamics, and Control of Tethered Satellite Systems
… the dynamics of the tether in a spinning TSS. Floquet theory is used to show that the lower-level model predicts that the pendular motion and transverse elastic vibrations of the tether are unstable for certain in-plane spin rates and system mass properties. Approximate solutions for the …
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Nonlinear Response of Cantilever Beams
… boundary-value continuation scheme, and Floquet theory is used to determine in detail branches of periodic and chaotic solutions and assess their stability. The limit cycles undergo symmetry-breaking, cyclic-fold, and period-doubling bifurcations. The chaotic attractors undergo …
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Locally Tuneable Quantum Hamiltonians with Neutral Atoms in Optical Lattices
… are fundamentally intractable to static systems. Floquet theory provides effective theoretical machinery to analyse the models that form as a result of periodic driving. Periodically modulating the on-site energy of individual lattice sites provides full individual control over the tunnelling …
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