The Center and Focus Problem : Algebraic Solutions and Hypotheses.

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Bibliographic Details
Author / Creator:	Popa, M. N.
Edition:	First edition.
Imprint:	[Place of publication not identified] : Chapman and Hall/CRC, 2021.
Description:	1 online resource ( xvi, 210 pages)
Language:	English
Series:	Monographs & research notes in mathematics Monographs & research notes in mathematics.
Subject:	Differential algebra. Differential algebra.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12729850

Hidden Bibliographic Details
Other authors / contributors:	Pricop, V. V.
ISBN:	9781003193074 1003193072 9781000426670 100042667X 9781000426656 1000426653 9781032017259 9781032044101 1032017252 1032044101
Notes:	Includes bibliographical references and index. Popa Mihail Nicolae holds a Ph. D. from Gorky University (now Nizhny Novgorod, Russia). He has served as Director and Deputy Director of Vladimir Andrunachievici Institute of Mathematics and Computer Science (IMCS)) in the Laboratory of Differential Equations. He is Professor at the State University of Tiraspol (based in Chisinau). His scientific interests are related to the invariant processes in the qualitative theory of differential equations, Lie algebras and commutative graded algebras, generating functions and Hilbert series, orbit theory, andLyapunov stability theory. Pricop Victor Vasile holds a Ph. D. from Vladimir Andrunachievici Institute of Mathematics and Computer Science. He is professor at the State Institute of International Relations of Moldova. Victor Pricop's scientific interests are related to Lie algebras and graded algebras of invariants and comitants, generating functions and Hilbert series, and applications of algebras to polynomial differential systems. Vendor-supplied metadata.
Other form:	Print version: Popa, M. N. Center and Focus Problem. First edition. [Place of publication not identified] : Chapman and Hall/CRC, 2021 9781032017259 1032017252
Standard no.:	10.1201/9781003193074

Table of Contents:

1. Lie Algebra Of Operators Of Centro-Affine Group Representation In The Coefficient Space Of Polynomial Differential Systems 2. Differential Equations For Centro-Affine Invariants And Comitants Of Differential Systems And Their Applications 3. Generating Functions And Hilbert Series For Sibirsky Graded Algebras Of Comitants And Invariants Of Differential Systems 4. Hilbert Series For Sibirsky Algebras And Krull Dimension For Them 5. About The Center And Focus Problem 6. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For The System s(1,m1, ..., m`) 7. On The Upper Bound Of The Number Of Algebraically Independent Focus Quantities That Take Part In Solving The Center And Focus Problem For Lyapunov System. Bibliography Appendixes

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