TISEAN is free a software project for the analysis of time series with methods based on the theory of nonlinear deterministic dynamical systems, or chaos theory, if you prefer. The software has grown out of the work of our groups during the last few years and was put into distributable form for the Winter School on Nonlinear Time Series Analysis (TISEAN 98), held in Dresden, 11-21 Feb 1998. Some of the routines are built around the programs given in
H. Kantz and T. Schreiber, ``Nonlinear Time Series Analysis'', Cambridge University Press, Cambridge (1997).
1.Time series embedding
2.Mutual Information
3.Singular Value Decompositon embedding
4.Lyapunov exponents (FULL spectrum with noise robustness)
5.Poincare sections
6.Local singular value decomposition analysis
Common Sense Systems: AUTOSET SOFTWARE
AutoSet is a Neural Net / Chaos based closed loop control software product.
Physics Academic Software (Chaos Data Analyzer Pro)
With CDA Pro, you can calculate Hurst exponents, false nearest neighbors, entropy, BDS statistics, and algorithmic complexity. Users can detrend their data with a variety of methods; generate two kinds of surrogate data sets; and make predictions using four different techniques, including an artificial neural net. New display modes include stereoscopic three-dimensional views, IFS clumpiness, and wavelet transforms. In addition, you'll get 44 real-world sample data sets, an on-line tutorial to get you up and running, and a comprehensive user's manual complete with technical information and an extensive bibliography. CDA Pro is state-of-the-art for analysis of chaotic time-series data. 82 pp.
Related CHAOS software from PAS
Chaos Data Analyzer
Chaos Data Anaylzer: The Professional Version
Chaos Demonstrations
Chaos Simulations
Chaos Dynamics Workbench
Chaotic Mapper
Now, with the new CSD Series of computer-aided instruction, you can easily master the fundamental concepts of six different important computer science methodologies from only one CD-ROM. It is loaded with interactive simulations, problem solving exercises, colorful graphics and clear explanations to help you understand these concepts and their practical applications - at your own pace - no matter what your field of study.
CHAOS & FRACTALS
Tools for the study of phenomena which appear to be totally random and without regularity, but in reality are governed by a simple rule. They provide insight into such naturally existing processes as climate variations and offer information for economic predictions, etc.
Content of the program
What are Chaos and Fractals?
Chaos Features
History of Chaos Research
Logistic Mapping
Strange Attractors
Baker's Transformation and Chaos
Fractals
Various Fractal Patterns
Applications of Chaos and Fractals
I wrote this book for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians. My background is in physics and I use mathematics extensively in problem solving. Like many educated people, I also enjoy math as a diversion. This is the audience I am writing for.
There are thousands of software resources on chaos, fractals, and dimension. I have listed a small sample of the programs available for Mac OS computers. Recommended programs are highlighted in yellow. Some of these were used to create the graphics that were included in this paper. Others were used for inspiration or entertainment. All programs were tested on a Power Mac, 300 MHz 603e running MacOS 8.1. (Note: I have not yet retested these programs with MacOS 8.5.) Appendix 3 also contains links to software archives (see below...archive#2) if you're looking for additional resources.
A useful link list to sites dealing with Complex Systems
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