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Showing 1 to 20 of 669 for “"hamiltonian"”.
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Finding Hamiltonian Cycles
<p>Finding a Hamiltonian cycle in a graph is used for solving major problems in areas such as graph theory, computer networks, and algorithm design. In this thesis various approaches of Hamiltonian cycle algorithms such as backtrack algorithms and heuristic algorithms, their basic ideas, and their …
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Geometric Integrators for Hamiltonian PDEs
… for a class of time-dependent PDEs with Hamiltonian structure. These systems possess phase space geometry and constants of the motion that need to be preserved by the integration algorithm to reflect the qualitative features of the system.</p> <p>We exploit the structure of Hamiltonian …
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Hamiltonian bifurcations in Schrodinger trimers
… periodic orbits whose topologies change due to Hamiltonian Hopf bifurcations and transcritical bifurcations. The Hamiltonian Hopf bifurcation occurs when eigenvalues on the imaginary axis collide and split and has two types: elliptic and hyperbolic. These two types arise in the DNLS problem, and …
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Ensemble control of Hamiltonian systems
… This controllability is limited, however, by the Hamiltonian preservation of area in the position-velocity plane. At the end of this thesis, some example systems will be simulated, demonstrating the concepts of the paper and showing that the controllability result is sound.
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Hamiltonian engineering with synthetic dimensions
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01
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On 4-Regular Planar Hamiltonian Graphs
… as a 4-regular planar graph. The existence of a Hamiltonian cycle in such a graph is necessary in order to use the graph to compute an upper bound on rope length for a given knot. The algorithm to generate such graphs is discussed and an exact count of the number of graphs is obtained. In order …
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Spectral Methods For The Hamiltonian Systems
… with some</p> <p>symplectic methods in solving Hamiltonian dynamical systems. Our</p> <p>main emphasis is on the non-linear problems. Numerical evidence has</p> <p>demonstrated that the proposed spectral collocation method preserves</p> <p>both energy and symplectic structure up to the machine …
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Chaotic diffusion in nonlinear Hamiltonian systems
This work investigates diffusion in nonlinear Hamiltonian systems. The diffusion, more precisely subdiffusion, in such systems is induced by the intrinsic chaotic behavior of trajectories and thus is called chaotic diffusion''. Its properties are studied on the example of one- or two-dimensional …
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New methods for Hamiltonian lattice theories
Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-21T14:14:59Z No. of bitstreams: 1 1980_roomany.pdf: 2399306 bytes, checksum: 57351980df1520bc9ee8c6e969ae0b4f (MD5)
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Hamiltonian cycles in subset and subspace graphs.
In this dissertation we study the Hamiltonicity and the uniform-Hamiltonicity of subset graphs, subspace graphs, and their associated bipartite graphs. In 1995 paper "The Subset-Subspace Analogy," Kung states the subspace version of a conjecture. The study of this problem led to a more general …
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Computing methods in Hamiltonian lattice gauge theory
… (strong-coupling) calculations in the Hamiltonian form of lattice quantum chromodynamics. In particular, a simple site-by-site formula is given for the reduction of the direct product of a string configuration with a string-creating operator, and a description is given of a package of …
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Canonical integration methods for Hamiltonian dynamical systems
Hamiltonian systems possess dynamics (e.g., preservation of volume in phase space and symplectic structure) that call for special numerical integrators, namely canonical methods. Recent research in this aspect have shown that canonical numerical integrators may be needed for Hamiltonian systems. In …
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Duistermaat-Heckman measures for Hamiltonian groupoid actions
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-09-16 without embargo terms
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Effective model Hamiltonian downfolded from first principles
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-04-12 without embargo terms
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Loop Edge Estimation in 4-Regular Hamiltonian Graphs
… large knots is based on choosing a 4-regular Hamiltonian planar graph. A method for generating rooted 4-regular Hamiltonian planar graphs with n vertices is discussed in this thesis. In the generation process of these graphs, some vertices are introduced that can be easily eliminated from the …
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Hamiltonian Flow Equations and the Electron-Phonon-Problem
… using the method of Flow Equations for Hamiltonians. In this continuous diagonalisation process the one particle energies and interaction constants are subject to a series of transformations, the ``flow'' of the Hamiltonian. They depend on a flow parameter l varying from zero to …
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Hamiltonian chaos: from galactic dynamics to plasma physics
… investigation of the influence of chaos in Hamiltonian models describing the behavior of charged particle orbits in plasma, the motion of stars in barred galaxies, and the diffusion of trajectories in multidimensional maps. First, we systematically explore the interplay between magnetic and …
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Hamiltonian engineering for quantum sensing and quantum simulation
… broad applications. In this thesis, we explore Hamiltonian engineering techniques to build better quantum sensors and quantum simulators. In quantum sensing, advanced control techniques are required to extract all the information available about the sensing target from the sensor. Unfortunately, …
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