Description: This book provides an introduction to the geometric theory of dynamical systems, focusing on ordinary differential equations. It presents a comprehensive treatment of the subject, covering topics such as:Phase portraits: Visual representations of the behavior of dynamical systems.Stability analysis: Determining the stability of equilibrium points and periodic orbits.Bifurcations: Changes in the qualitative behavior of a dynamical system as a parameter varies.Chaos: Complex and unpredictable behavior in dynamical systems.The book is designed to be accessible to undergraduate and beginning graduate students in mathematics, science, and engineering. It emphasizes geometric intuition and avoids excessive technical detail. Numerous examples and exercises are included to reinforce the concepts presented.
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Subject Area: Mathematics, Science
Publication Name: Dynamics and Bifurcations
Publisher: Springer New York
Item Length: 9.2 in
Subject: Differential Equations / General, System Theory, Physics / Mathematical & Computational, Mathematical Analysis
Publication Year: 1991
Series: Texts in Applied Mathematics Ser.
Type: Textbook
Format: Hardcover
Language: English
Item Height: 0.5 in
Author: J. Hale & H. Kocak
Personalized: No
Item Weight: 78 Oz
Item Width: 6.1 in
Number of Pages: Xiv, 574 Pages