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The Center and Focus Problem - Algebraic Solutions and Hypotheses (Hardcover)
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The Center and Focus Problem - Algebraic Solutions and Hypotheses (Hardcover)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 17 working days
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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.
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