Books > Science & Mathematics > Mathematics > Topology > Analytic topology
|
Not currently available
The Topology of Chaos 2e - Alice in Stretch and Squeezeland (Hardcover, 2nd Edition)
Loot Price: R2,950
Discovery Miles 29 500
You Save: R690
(19%)
|
|
The Topology of Chaos 2e - Alice in Stretch and Squeezeland (Hardcover, 2nd Edition)
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
|
A highly valued resource for those who wish to move from the
introductory and preliminary understandings and the measurement of
chaotic behavior to a more sophisticated and precise understanding
of chaotic systems. The authors provide a deep understanding of the
structure of strange attractors, how they are classified, and how
the information required to identify and classify a strange
attractor can be extracted from experimental data. In its first
edition, the Topology of Chaos has been a valuable resource for
physicist and mathematicians interested in the topological analysis
of dynamical systems. Since its publication in 2002, important
theoretical and experimental advances have put the topological
analysis program on a firmer basis. This second edition includes
relevant results and connects the material to other recent
developments. Following significant improvements will be included:
* A gentler introduction to the topological analysis of chaotic
systems for the non expert which introduces the problems and
questions that one commonly encounters when observing a chaotic
dynamics and which are well addressed by a topological approach:
existence of unstable periodic orbits, bifurcation sequences,
multistability etc. * A new chapter is devoted to bounding tori
which are essential for achieving generality as well as for
understanding the influence of boundary conditions. * The new
edition also reflects the progress which had been made towards
extending topological analysis to higher-dimensional systems by
proposing a new formalism where evolving triangulations replace
braids. * There has also been much progress in the understanding of
what is a good representation of a chaotic system, and therefore a
new chapter is devoted to embeddings. * The chapter on topological
analysis program will be expanded to cover traditional measures of
chaos. This will help to connect those readers who are familiar
with those measures and tests to the more sophisticated
methodologies discussed in detail in this book. * The addition of
the Appendix with both frequently asked and open questions with
answers gathers the most essential points readers should keep in
mind and guides to corresponding sections in the book. This will be
of great help to those who want to selectively dive into the book
and its treatments rather than reading it cover to cover. What
makes this book special is its attempt to classify real physical
systems (e.g. lasers) using topological techniques applied to real
date (e.g. time series). Hence it has become the experimenter?s
guidebook to reliable and sophisticated studies of experimental
data for comparison with candidate relevant theoretical models,
inevitable to physicists, mathematicians, and engineers studying
low-dimensional chaotic systems.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.