The Center and Focus Problem - Algebraic Solutions and Hypotheses (Hardcover)

The Center and Focus Problem: Algebraic Solutions and Hypotheses, M. N. Popa and V.V. Pricop, ISBN: 978-1-032-01725-9 (Hardback) This book focuses on an old problem of the qualitative theory of differential equations, called the Center and Focus Problem. It is intended for mathematicians, researchers, professors and Ph.D. students working in the field of differential equations, as well as other specialists who are interested in the theory of Lie algebras, commutative graded algebras, the theory of generating functions and Hilbert series. The book reflects the results obtained by the authors in the last decades. A rather essential result is obtained in solving Poincare's problem. Namely, there are given the upper estimations of the number of Poincare-Lyapunov quantities, which are algebraically independent and participate in solving the Center and Focus Problem that have not been known so far. These estimations are equal to Krull dimensions of Sibirsky graded algebras of comitants and invariants of systems of differential equations.

General

Imprint:	Taylor & Francis
Country of origin:	United Kingdom
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Release date:	September 2021
First published:	2022
Authors:	M.N. Popa • V.V. Pricop
Dimensions:	234 x 156mm (L x W)
Format:	Hardcover
Pages:	210
ISBN-13:	978-1-03-201725-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	1-03-201725-2
Barcode:	9781032017259

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