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Full-Text Articles in Physical Sciences and Mathematics
Control Of Integrable Hamiltonian Systems And Degenerate Bifurcations, Christopher W. Kulp
Control Of Integrable Hamiltonian Systems And Degenerate Bifurcations, Christopher W. Kulp
Dissertations, Theses, and Masters Projects
In this dissertation, we study the control of near-integrable systems. A near-integrable system is one whose phase space has a similar structure to an integrable system during short time periods and for some parameter regime. We begin by studying the control of integrable Hamiltonian systems. The controller targets an exact solution to the integrable system using dissipative and conservative terms. We find that a Takens-Bogdanov bifurcation occurs in the limit of no dissipative control. The presence of a Takens-Bogdanov bifurcation implies that the control is highly susceptible to noise. We illustrate our results using a two- and four-dimensional integrable systems …
Ultraviolet Sources For Advanced Applications In The Vacuum Uv And Near Uv, Sheng Peng
Ultraviolet Sources For Advanced Applications In The Vacuum Uv And Near Uv, Sheng Peng
Dissertations, Theses, and Masters Projects
This dissertation documents a systematic study consisting of experimental investigations and theoretical analyses of intense ultraviolet sources in VUV and near-UV. Some engineering issues regarding two prototypes of electrodeless lamps using rf and microwave are discussed.;Various excimers that produce intense UV light are investigated, including: (1) A benchmark Xe2 excimer which has been proven to be very efficient in our novel rf capacitively coupled discharge lamp; (2) A rarely studied excimer, KrI, which suffers from predissociation and was reported to be very weak or invisible by most of other studies; (3) XeI excimer whose emission dominates around 253 nm and …