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Computer generation of normalizing transformation for systems of nonlinear ODE
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents
Kiev, Ukraine
Pages: 14 - 19  
Year of Publication: 1993
ISBN:0-89791-604-2
Author
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SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 12,   Citation Count: 1
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
A.D.Bruno: The Analytic Form of differential Equations; Notes of Moscow Mathematical Society. The Moscow university press, vol. 25, p.119~262, 1971; vol.26, p.199-239, 1972. In Russian. A.D.Bruno: Local Method in Nonlinear Differenlial Equations. Part I- The Local Method of Nonlinear Analyses of Differential Equations, Part II- The Sets of Analyticity of a Normalizing Transformation; Springer Series in Soviet Mathematics. ISBN 3-540-18926-2, 370 pages, 1988
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3
V.F.Edneral, O.A.Khrustalev: The Normalizing Transformation for Nonlinear Systems of ODE. The Realization of the Algorithm; International Conference on Computer Algebra and its Application in Theoretical Physics. USSR, Dubna, 17--20 September, 1985. In Russian. V.F.Edneral, O.A.Khrustalev: Program for Recasling ODE Systems in the Normal Form; Sov.J. "Programmirovanie", Numb. 5, 1992, p.73--80. In Russian.
 
4
A.Ya.Rodionov: A Program for Rational Arithmetic RATAR;-In progress. In Russian.
 
5
A.C.Hearn: REDUCE. User's manual; Rand Publication CP78, 1987
 
6
A.G.Gustavson: On Constructing Formal Inlegrals of a Hamiltonian System Near an Equilibrium Point; Astronomical J., vol.71, pp. 670~686, 1966.
 
7
M.Henon, C.tieiles, The Applicability of the Third Integral Of Motion: Some Numerical Experiments; Astronomical J., vol.69, pp. 73--79, 1964.