- 330 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
This text discusses the qualitative properties of dynamical systems including both differential equations and maps. The approach taken relies heavily on examples (supported by extensive exercises, hints to solutions and diagrams) to develop the material, including a treatment of chaotic behavior.
The unprecedented popular interest shown in recent years in the chaotic behavior of discrete dynamic systems including such topics as chaos and fractals has had its impact on the undergraduate and graduate curriculum. However there has, until now, been no text which sets out this developing area of mathematics within the context of standard teaching of ordinary differential equations.
Applications in physics, engineering, and geology are considered and introductions to fractal imaging and cellular automata are given.
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Dynamical Systems by C.M. Place in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Title Page
- Copyright Page
- Contents
- Preface
- 1 Introduction
- 2 Linear systems
- 3 Non-linear systems in the plane
- 4 Flows on non-planar phase spaces
- 5 Applications I: planar phase spaces
- 6 Applications II: non-planar phase spaces, families of systems and bifurcations
- Bibliography
- Hints to Exercises
- Index