FE 'tkGooie' UtilitiesTk script CODE ofthe 'ODEtools' group
(Ordinary Differential Equations,

Lorenz attractor orbits  which are often used as an example of 'chaos'. This does not look like chaos to me  just continuous, smooth instability. Chaos is comets crashing into planets  galaxies colliding. Chaos is carpet bombing. Chaos looks more like Brownian motion. This is not chaos. Mathematicians, please use another term. For example: Instability theory. Don't be so overly melodramatic. The 'chaos' terminology just seems foolish in many cases. Better to call this behavior furcation, rather than 'chaos'. 
FE Home Page > FE Downloads Page > FE 'tkGooies' Description Page > This Page
! Preliminary ! A few more 'tkGooies' ODEutilities may be added
 and the scripts here may be revised occasionally.
< Go to CodeLinks List, below. >
(SKIP THE INTRODUCTION)
OVERVIEW of 'ODEtools'  in the FE 'tkGooies' system : A description of the FE 'tkGooies' system is available via a 'tkGooies' Description page. That page points out that the 'tkGooies' are a collection of utilities in categories (toolchests) such as
Just below is a list of links to pages that present the source code of a collection of the 'ODE utilities' in the FE 'tkGooies' system. Some sources (books, etc.) for ODE coding projects are shown in a section at the bottom of this page. These sources include equations, methods, and, in some cases, code. Many of the books can be found in a university library (a real university, not one of those justtoripoffthestudent universities). To aid in finding the book on library shelves, some library ID numbers are provided  Library of Congress call numbers. 
List of Links to pages that present the CODE of 'ODEtools' 'tkGooie' scripts:
The following ODE utilities (tobedonewithTkGUI's) are on a 'todo' list.
End of List of CodeLinks. 
How the code samples are presented : Use the listoflinks (above) to go directly to web pages that contain source code along with codedescriptions and screenshots. The Tk script files (and other auxiliary files, if any) are in text files that can be downloaded to your computer and implemented. To download, simply 'rightclick' on a text link and, in a popup window of your web browser, choose an option such as 'Save Link Target As ...'. 
RungeKutta equations for numerical integration
Some SOURCES (books, etc.) for ODE and other Math/Physics coding projects:
Some REFERENCES that may give some insight on ODE's
A related area to ODE's is 'Calculus of Variations' :
Some WebSite Sources Some free ebooks may be available from freebookcentre.net (no registration required!! no attempts to keep you on their web pages!! no annoying popups!!) in the areas of Physics and Mathematics  in particular in the areas of
A similar 'free ebooks' site is at ebooksdirectory.com. See the Mathematics and SciencePhysics categories. Some 'free ebooks' and 'free HTML sites' in the math and physics categories are at physicsdatabase.com. At 'openlibrary.org', you can use the Search field at the bottom of the math and physics pages to find books on specific topics. You can sort the results by 'most recent' (newest) or 'first published' (oldest). Also, see the Mathematics and Physics 'bookshelves' on the Science Bookshelf page of gutenberg.org  for some classic volumes (generally more than 80 years old). A list of problem and excercise books in physics may still be available at the University of Wisconsin library. For some links to more sources of 'freely available physics books', see this link at physics.stackexchange.com. 
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