Polynomial Systems and Number of Limit Cycles in Hilbert 16th Problem : A Study of Limit Cycles of Certain Polynomial Systems in Hilbert 16th Problem

Language: English

Published by LAP Lambert Academic Publishing, 2012

3659157090 / 9783659157097

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…

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Title
Polynomial Systems and Number of Limit Cycles in Hilbert 16th Problem : A Study of Limit Cycles of Certain Polynomial Systems in Hilbert 16th Problem
Author
Amjad Islam Pitafi
Publisher
LAP Lambert Academic Publishing
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659157090
ISBN 13
9783659157097
Item weight
129 grams
Dimensions
220x150x5 mm

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