Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Hamiltonian mechanics"”.
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A Problem From Hamiltonian Mechanics With Time -Periodic Coefficients, Small Noise, and Degeneracy
… Their time average is governed by a degenerate Hamiltonian whose set of critical points has an interior. The dynamics of the system is studied in the presence of three time scales. The periodic fluctuations of the coefficients occur on the time scale of order 1/epsilon2, the effect of the drift …
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Lifts of Frobenius on Arithmetic Jet Spaces of Schemes
… bundle of a manifold, appearing for instance in Hamiltonian mechanics, have as arithmetic analogues lifts of Frobenius on arithmetic jet spaces J^1(X) of schemes. In this thesis, we first consider the projective space P^m and prove that lifts of Frobenius do not exist on its arithmetic jet spaces …
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Constrained Buckling of Variable Length Elastica
… boundary and loading conditions. Based on Hamiltonian mechanics, the optimality conditions, which constitute the Pontryagin’s minimum principle, involve the minimization of the Hamiltonian with respect to the control variables, the canonical equations and the transversality conditions. The …
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General and Efficient Bayesian Computation through Hamiltonian Monte Carlo Extensions
<p>Hamiltonian Monte Carlo (HMC) is a state-of-the-art sampling algorithm for Bayesian computation. Popular probabilistic programming languages Stan and PyMC rely on HMC’s generality and efficiency to provide automatic Bayesian inference platforms for practitioners. Despite its wide-spread use and …
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The Koszul dual to n-Lie, n-Com algebras, and Young tableaux
… algebras, which was first introduced in Nambu mechanics to extend Hamiltonian mechanics to more than one Hamiltonian. We find the Koszul dual of $n\text{-}Lie_{-d+n-2}$ to be the operad $n\text{-}Com_d$, whose relations come from the Specht module $S^{(n,n-1)}$. We combine the operads $n$-Lie …
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A Closer Look at Classical Measurement, an Algorithm for Deliberation in Rodents, and a Conjecture on Intertemporal Choice
… of the measurement process in classical Hamiltonian mechanics. This part is concerned with the tradeoff that exists, when measuring any observable of a system, between the disturbance inflicted upon the system and the information that can be extracted. The main result takes the form of a …
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Lunar Mission Analysis for a Wallops Flight Facility Launch
… in the solar system. This thesis explores the mechanics behind a lunar mission and the costs and benefits of different approaches. To constrain this problem, the launch criteria are those of Wallops Flight Facility (WFF), which has expressed interest in launching small spacecraft to the Moon …
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Stochastic Geometric Mechanics and Symmetry
… stochastically perturbed mechanical systems, in Hamiltonian as well as Lagrangian (variational) formulations. On the Hamiltonian side, we discuss a stochastic Kepler problem with a noisy angular momentum vector. We show that the radial distance and speed evolve deterministically. This allows us …
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An Update on the Computational Theory of Hamiltonian Period Functions
… physics by using the algorithms to calculate Hamiltonian period functions as solutions to ordinary differential equations. The simple pendulum is given as an example where our ingenuity contributes positively to developing the exact solution, and to non-linear data analysis. In semiclassical …
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A Computational Framework for Dimensionally Reduced Particle Dynamics in Magnetic Nozzle Fields: An Adiabatic Invariant Approach
… Starting from the full three-dimensional Hamiltonian formulation, the problem is reduced to two dimensions via angular momentum conservation, then further simplified to one dimension through the introduction of an adiabatic invariant J, which characterizes periodic radial motion. The …