An algorithm for the computation of normal forms and invariant manifolds

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An algorithm for the computation of normal forms and invariant manifolds

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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: 225 - 233

Year of Publication: 1993

ISBN:0-89791-604-2

Author

L. Vallier

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 1, Downloads (12 Months): 16, 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	V. Arnold. Chap~tres supplementaires de la theorie des eq~la~'~oT~s d~fferentielles ordinaires. Mir, 1980.
	2	J. Ca rr. Appheations of Cenler Manifold Theory. Springer-Verlag, 1981.
	3	E. Ponce E. Freire, E. Gamero and L. Franquelo. An algorithm for symbolic computation of center manifolds. Leclure Notes zn Computer Sczences, pages 218-230, 1989.
	4	Guoting Chen , Jean Della Dora , Laurent Stolovitch, Nilpotent normal form via Carleman linearization (for systems of ordinary differential equations), Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.281-288, July 15-17, 1991, Bonn, West Germany [doi>10.1145/120694.120737]
	5	Lawrence Perko, Differential equations and dynamical systems, Springer-Verlag New York, Inc., New York, NY, 1991
	6	Jack K. Hale Shui-Nee Chow. Methods of BifurcattoT~ Theory. Springer-Verlag, 1982.
	7	Jan Sijbrand. Properties of center manifold~ Transactions of the American Mathem, al'~cal Soc~i~, 289(2):431-469, 1985.
	8	Laurent Stolovitch. Sur les formes normale., de systemes nilpotents. C.R. Acad. Sci. Parzs, 314(1992):355-358, 1992.
	9	A. Vanderbawhede. Center manifolds, normal forms and elementary bifurcations. Prepublicatzon. U~7~- versite de Nice, 1985.