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Title: Stability domains in nonlinear point reactor dynamics

Abstract

The nonlinear point reactor kinetics model with linear reactivity feedback is studied to determine stable regions of the state space.

Authors:
 [1]
+ Show Author Affiliations
  1. Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Research Org.:
Univ. of Arizona, Tucson, AZ (United States)
Sponsoring Org.:
US Atomic Energy Commission (AEC)
OSTI Identifier:
4004123
Report Number(s):
COO-2109-3
NSA Number:
NSA-25-028800
DOE Contract Number:
AT(04-3)-670
Resource Type:
Thesis/Dissertation
Resource Relation:
Other Information: Thesis. UNCL. Orig. Receipt Date: 31-DEC-71
Country of Publication:
United States
Language:
English
Subject:
21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS; LIAPOUNOV METHOD; MATHEMATICS; REACTIVITY; REACTOR KINETICS; REACTORS; STABILITY; REACTORS/kinetics for, stability domains in nonlinear point, (T); REACTIVITY/stability domains for nonlinear point reactor, (T)

Citation Formats

Kendall, James Michael. Stability domains in nonlinear point reactor dynamics. United States: N. p., 1971. Web. doi:10.2172/4004123.
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Kendall, James Michael. Stability domains in nonlinear point reactor dynamics. United States. doi:10.2172/4004123.
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Kendall, James Michael. Fri . "Stability domains in nonlinear point reactor dynamics". United States. doi:10.2172/4004123. https://www.osti.gov/servlets/purl/4004123.
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@article{osti_4004123,
title = {Stability domains in nonlinear point reactor dynamics},
author = {Kendall, James Michael},
abstractNote = {The nonlinear point reactor kinetics model with linear reactivity feedback is studied to determine stable regions of the state space.},
doi = {10.2172/4004123},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Jan 01 00:00:00 EST 1971},
month = {Fri Jan 01 00:00:00 EST 1971}
}
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Thesis/Dissertation:
View Thesis/Dissertation (1.06 MB)
DOI:  10.2172/4004123
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  • The dissertation, titled ''Genetic Algorithms Applied to Nonlinear and Complex Domains'', describes and then applies a new class of powerful search algorithms (GAS) to certain domains. GAS are capable of solving complex and nonlinear problems where many parameters interact to produce a ''final'' result such as the optimization of the laser pulse in the interaction of an atom with an intense laser field. GAS can very efficiently locate the global maximum by searching parameter space in problems which are unsuitable for a search using traditional methods. In particular, the dissertation contains new scientific findings in two areas. First, the dissertationmore » examines the interaction of an ultra-intense short laser pulse with atoms. GAS are used to find the optimal frequency for stabilizing atoms in the ionization process. This leads to a new theoretical formulation, to explain what is happening during the ionization process and how the electron is responding to finite (real-life) laser pulse shapes. It is shown that the dynamics of the process can be very sensitive to the ramp of the pulse at high frequencies. The new theory which is formulated, also uses a novel concept (known as the (t,t') method) to numerically solve the time-dependent Schrodinger equation Second, the dissertation also examines the use of GAS in modeling decision making problems. It compares GAS with traditional techniques to solve a class of problems known as Markov Decision Processes. The conclusion of the dissertation should give a clear idea of where GAS are applicable, especially in the physical sciences, in problems which are nonlinear and complex, i.e. difficult to analyze by other means.« less

  • The dissertation, titled ''Genetic Algorithms Applied to Nonlinear and Complex Domains'', describes and then applies a new class of powerful search algorithms (GAS) to certain domains. GAS are capable of solving complex and nonlinear problems where many parameters interact to produce a final result such as the optimization of the laser pulse in the interaction of an atom with an intense laser field. GAS can very efficiently locate the global maximum by searching parameter space in problems which are unsuitable for a search using traditional methods. In particular, the dissertation contains new scientific findings in two areas. First, the dissertationmore » examines the interaction of an ultra-intense short laser pulse with atoms. GAS are used to find the optimal frequency for stabilizing atoms in the ionization process. This leads to a new theoretical formulation, to explain what is happening during the ionization process and how the electron is responding to finite (real-life) laser pulse shapes. It is shown that the dynamics of the process can be very sensitive to the ramp of the pulse at high frequencies. The new theory which is formulated, also uses a novel concept (known as the (t,t') method) to numerically solve the time-dependent Schrodinger equation Second, the dissertation also examines the use of GAS in modeling decision making problems. It compares GAS with traditional techniques to solve a class of problems known as Markov Decision Processes. The conclusion of the dissertation should give a clear idea of where GAS are applicable, especially in the physical sciences, in problems which are nonlinear and complex, i.e. difficult to analyze by other means.« less

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  • ; - Nucl. Sci. Eng. 44: 86-94(Apr 1971).