Welcome,
New User!
New User!
Handbook of Dynamical Systems
Imprint: North Holland
Format: Adobe Encrypted (DRM)
Earn $0.50 - Write a Review »
Our Price
$192.94
Reward Money:
$0.00
In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli.
Covers recent literature on various topics related to the theory of birfurcations of differentiable dynamical systems
Highlights developments that are the foundation for future research in this field
Provides material in the form of surveys which are important tools for introducing the birfucations of differentiable dynamical systems
Share your thoughts on the Handbook of Dynamical Systems Education eBook with others!
| Title of eBook: Handbook of Dynamical Systems | |
| Release Date: 10-12-2010 | |
| Publisher: North Holland |
This eBook download is available in the following formats:
| Parent title | Handbook of Dynamical Systems |
|---|---|
| Encrypted (DRM) | Yes |
| SKU | 9780080932262 |
| File size | 20322 |
| Security | n/a |
| Printing | Not allowed |
| Copying | Not allowed |
| Read aloud | No Sys requirements Download reader |
| Devices | Samsung Tablet, Apple Ipad & Iphone, Barnes & Noble Nook, Kobo eReader, Aluratek Libre, Iliad, Nokia, Blackberry, Hanlin |
| Note | Excellent navigation features are available via Adobe such as bookmarks and a quick access table of contents. Text search is easily accessible. An Adobe DRM-protected file is different than a pdf file in that it uses Adobe DRM (Digital Rights Management) technology, which authors and publishers use to protect their content from illegal online distribution and to set certain privileges such as restrictions on copying and printing. |
Handbook of Dynamical Systems
Chapter One
Preliminaries of Dynamical Systems Theory
H.W. Broer and F. Takens Johann Bernoulli Institute for Mathematics and Computer Science, P.O. Box 407 9700 AK Groningen, The Netherlands Bernoulliborg, Building 5161, Nijenborgh 9, 9747 AG Groningen, The Netherlands
Contents
1. General definition of a dynamical system 3 1.1. The state space 4 1.2. The time set 5 1.3. The evolution map 7 1.4. Relations between the different classes of dynamical systems 11 2. Transversality and generic properties 13 2.1. The notion of genericity 13 2.2. Sard's theorem and Thom's tranversality lemma 14 2.3. Generic properties of dynamical systems based on transversality (Kupka-Smale theorems) 19 3. Generic properties which are not based on transversality: the Closing Lemma 26 4. Generic local bifurcations 28 4.1. Generic local bifurcations of functions (Catatrophe Theory) 28 4.2. Centre manifolds and generic local bifurcations of differential equations 30 4.3
...
