Home » Center and Focus Problem
Product Image

Center and Focus Problem

M.N. Popa | V.V. Pricop
€210.80
Quantity:
In stock with our UK publisher. 14-28 days
Delivery/Collection within 10-20 working days
14 days return policy Shipping & Delivery
A01=M.N. Popa
A01=V.V. Pricop
Algebraic Bases
algebraic invariants in dynamical systems
Author_M.N. Popa
Author_V.V. Pricop
By sL
Category=PB
Category=PBF
commutative graded algebras
Compact Torus
Differential System
Elementary Fractions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Focus Problem
Generating Function
generating functions mathematics
Graded Algebras
Group GL
Hilbert Series
Hilbert series applications
Homogeneous Polynomials
Integral Curves
Lie Algebra
Lie algebra methods
Linear Differential Operators
Linear Groups
Macaulay Theorem
Maximal Compact Subgroup
Meromorphic Function
Phase Variables
Polynomial Differential System
polynomial differential systems
Polynomial Nonlinearities
qualitative theory
Singular Point
Tangent Vector Field
Unimodular Transformations
Vice Versa

Product details

  • ISBN 9781032017259
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 24 Sep 2021
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
Secure checkout Fast Shipping Easy returns
Description

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 Poincaré's problem. Namely, there are given the upper estimations of the number of Poincaré-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.
About M.N. Popa | V.V. Pricop
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, and Lyapunov 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.

More from this author