1,214 research outputs found

    Study on determining stability domains for nonlinear dynamical systems Quarterly progress report no. 1, 1 May - 1 Aug. 1966

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    Numerical algorithm for determining stability domain of attraction of equilibrium motions of nonlinear dynamical systems - Liapunov function

    Study on determining stability domains for nonlinear dynamical systems Quarterly progress report, 1 May - 1 Aug. 1966

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    Procedure for formulating problem of estimating domain of attraction of equilibrium solution of nonlinear dynamical system and development of numerical algorith

    Parameterization of the set of positive- definite matrices and an algorithm for its generation

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    Numerical analysis on set elements for positive definite symmetric matrices by parameterizatio

    Cluster algebras in algebraic Lie theory

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    We survey some recent constructions of cluster algebra structures on coordinate rings of unipotent subgroups and unipotent cells of Kac-Moody groups. We also review a quantized version of these results.Comment: Invited survey; to appear in Transformation Group

    Study on determining stability domains for nonlinear dynamical systems Final report 1 May 1966 - 1 Feb. 1967

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    Numerical procedure for determining stability domains in nonlinear dynamical system

    Algorithm for Liapunov stability analysis

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    Development of algorithm provides automatic computation of quadratic estimate of domain of stability for stable equilibrium states of nonlinear systems of ordinary differential equations

    Further development of an algorithm for the nonlinear stability analysis of the orbiting astronomical observatory paired-tracker control system Final report

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    Algorithm development for estimating domain of attraction of OAO paired-tracker equilibrium state with Liapunov function

    Big Bang Nucleosynthesis Constraints on the Self-Gravity of Pressure

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    Using big bang nucleosynthesis and present, high-precision measurements of light element abundances, we constrain the self-gravity of radiation pressure in the early universe. The self-gravity of pressure is strictly non-Newtonian, and thus the constraints we set provide a direct test of this prediction of general relativity and of the standard, Robertson-Walker-Friedmann cosmology.Comment: 5 pages, 1 figure. This paper was developed from an earlier version which was posted as arXiv:0707.358
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