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**About this book :- **
**Dynamics in One Dimension ** written by
** L.S. Block, W.A. Coppel **

The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. The purpose of the book is to give a clear account of this subject, with complete proofs of many strong, general properties. In a number of cases these have previously been difficult of access. The analogous theory for maps of a circle is also surveyed. Although most of the results were unknown thirty years ago, the book will be intelligible to anyone who has mastered a first course in real analysis. Thus the book will be of use not only to students and researchers, but will also provide mathematicians generally with an understanding of how simple systems can exhibit chaotic behaviour.

**Book Detail :- **
** Title: ** Dynamics in One Dimension
** Edition: **
** Author(s): ** L.S. Block, W.A. Coppel
** Publisher: **
** Series: **
** Year: ** 1995
** Pages: ** 265
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: ** Australia

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**About Author :- **

Author ** W.A. Coppel ** , Department of Mathematics, Institute of Advanced Studies, Australian National University,Canberra, ACT, 2600/Australia. W.A. Coppel's research while affiliated with Australian National University.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Dichotomies in Stability Theory by W.A. Coppel **

** • Download PDF Dynamics in One Dimension by L.S. Block, W.A. Coppel **

** • Download PDF Stability & Asymptotic Behaviour of Differential Equations by W.A. Coppel **

** • Download PDF Number Theory An Introduction to Mathematics Part (A) by W.A. Coppel **

** • Download PDF Number Theory An Introduction to Mathematics Part (B) by W.A. Coppel **

** • Download PDF Number Theory An Introduction to Mathematics (2E) by W.A. Coppel **

** • Download PDF Mathematical Control Theory by K.J. Åström, W.A. Coppel **

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**Book Contents :- **
**Dynamics in One Dimension ** written by
** L.S. Block, W.A. Coppel **
cover the following topics.

1. Periodic Orbits

2. Turbulence

3. Unstable Manifolds and Homoclinic Points

4. Topological Dynamics

5. Topological Dynamics (continued)

6. Chaotic and Non chaotic Maps

7. Types of Periodic Orbits

8. Topological Entropy

9. Maps of the Circle

Refrences

Index

Notations

?1

?2

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis