|
|
|
Viewing Version
3
of
'bifurcation'
|
[ view 'bifurcation'
|
back to history
]
| Title of object: |
bifurcation |
| Canonical Name: |
Bifurcation |
| Type: |
Definition |
| Created on: |
2002-04-07 07:20:06 |
| Modified on: |
2004-02-25 19:00:59 |
| Classification: |
msc:37H20, msc:34C23, msc:35B32 |
Revision comment (for changes between this and next version):
| Changes for correction #11108 ('this is a wrong definition'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
%\usepackage{psfrag}
%\usepackage{graphicx}
%\usepackage{xypic} |
Content:
\section{Bifurcation}
\emph{Bifurcation} refers to the splitting of attractors, as in dynamical systems.
For example, the branching of the Feigenbaum tree is an instance of bifurcation.
A cascade of bifurcations is a precursor to chaos.
\begin{thebibliography}{3}
\bibitem{B1} ``Bifurcations'', \PMlinkexternal{http://mcasco.com/bifurcat.html}{http://mcasco.com/bifurcat.html}
\bibitem{B2} ``Bifurcation'', \PMlinkexternal{http://spanky.triumf.ca/www/fractint/bif_type.html}{http://spanky.triumf.ca/www/fractint/bif_type.html}
\bibitem{B3} ``Quadratic Iteration, bifurcation, and chaos'', \PMlinkexternal{http://mathforum.org/advanced/robertd/bifurcation.html}{http://mathforum.org/advanced/robertd/bifurcation.html}
\end{thebibliography} |
|
|
|
|
|
