Wen Lan Differentiable Dynamical Systems 9781470427993

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Автор: Wen Lan
Название: Differentiable Dynamical Systems
Перевод названия: Уэн Лан: Дифференцируемые динамические системы
ISBN: 9781470427993
Издательство: Mare Nostrum (Eurospan)
Классификация:

Дифференциальное исчисление и дифференциальные уравнения

ISBN-10: 1470427990
Обложка/Формат: Hardback
Страницы: 199
Вес: 0.53 кг.
Дата издания: 30.07.2016
Серия: Graduate studies in mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 254 X 178 X 22
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations
Подзаголовок: An introduction to structural stability and hyperbolicity
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Поставляется из: Англии
Описание: This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale.While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study.
Дополнительное описание: Differential calculus and equations|Calculus and mathematical analysis

Differentiable Dynamical Systems, Wen Lan