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Polynomial Systems and Number of Limit Cycles in Hilbert 16th Problem (Paperback)
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Polynomial Systems and Number of Limit Cycles in Hilbert 16th Problem (Paperback)
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In the last twenty years, the work was done on the different
problems related to the Qualitative Theory of differential
equations. But during the last few years, the interest surrounded
around the well-known Hilbert's Sixteenth Problem which he posed at
Paris Conference of International Congress of Mathematicians in
1900, together with other twenty-two problems 17]. In this book we
are mainly concerned in the second part of Hilbert's sixteenth
Problem, which poses the question of maximal number and relative
position of limit cycles of the polynomial system of the form: (A)
in which P and Q are polynomials in x and y. We write the system A
in the form of (B) Where, and, are homogeneous quadratic and cubic
polynomials in x and y. Chapter No. 1 comprises the basic concepts
for general theory of limit cycles and Hilbert's Sixteenth Problem.
Chapter No. 2 contains an Algorithm for determining so called focal
basis. This can be implemented on the computer to get the estimate
for the number of small-amplitude limit cycles. Chapter No. 3 deals
with some classes of system (B) with several small-amplitude limit
cycles.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
July 2012 |
First published: |
July 2012 |
Authors: |
Amjad Islam Pitafi
|
Dimensions: |
229 x 152 x 5mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
84 |
ISBN-13: |
978-3-659-15709-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-659-15709-0 |
Barcode: |
9783659157097 |
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