Planar Dynamical Systems: Selected Classical Problems 9783110298291

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Автор: Yirong Liu, Jibin Li, Wentao Huang
Название: Planar Dynamical Systems: Selected Classical Problems
ISBN: 9783110298291
Издательство: Walter de Gruyter
Классификация:

Алгебра

Основы высшей математики и математический анализ

Функциональный анализ и преобразования

Оптимизация

Теория игр

Прикладная математика

Судоку и числовые головоломки

ISBN-10: 3110298295
Обложка/Формат: Hardback
Страницы: 389
Вес: 0.82 кг.
Дата издания: 29.09.2014
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 22
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Applied mathematics, MATHEMATICS / Applied,MATHEMATICS / Functional Analysis,MATHEMATICS / Game Theory,MATHEMATICS / Recreations & Games,MATHEMATICS / Vector Analysis
Основная тема: MATHEMATICS / Applied,MATHEMATICS / Game Theory,MATHEMATICS / Recreations & Games,MATHEMATICS / Vector Analysis,MATHEMATICS / Functional Analysis
Подзаголовок: Selected classical problems
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In 2008, November 23-28, the workshop of ”Classical Problems on Planar Polynomial Vector Fields ” was held in the Banff International Research Station, Canada. Called classical problems, it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The problem of the center stated by Poincare for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center. (3) Global geometry of specific classes of planar polynomial vector fields. (4) Hilbert’s 16th problem. These problems had been posed more than 110 years ago.Therefore, they are called classical problems in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincare and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium. This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert’s 16th problem. The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations.

Planar Dynamical Systems: Selected Classical Problems, Yirong Liu, Jibin Li, Wentao Huang