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Item Details
Title: STRUCTURALLY STABLE QUADRATIC VECTOR FIELDS
By: Joan C. Artes, Robert E. Kooij, Jaume Llibre
Format: Paperback

List price: £48.50


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ISBN 10: 082180796X
ISBN 13: 9780821807965
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 1998
Series: Memoirs of the American Mathematical Society No. 639
Pages: 120
Description: The 1950s saw the first real impetus given to the development of the qualitative theory of quadratic vector fields. One of the problems in the qualitative theory of quadratic vector fields is the classification of all structurally stable ones. In this work, the authors solve this problem.
Synopsis: This book solves a problem that has been open for over 20 years - the complete classification of structurally stable quadratic vector fields modulo limit cycles. The 1950s saw the first real impetus given to the development of the qualitative theory of quadratic vector fields, although prior and ongoing interest in the topic can be shown by the more than 800 papers that have been published on the subject. One of the problems in the qualitative theory of quadratic vector fields is the classification of all structurally stable ones. In this work the authors solve this problem completely modulo limit cycles and give all possible phase portraits for such structurally stable quadratic vector fields.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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