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Thread: Chaos theory question

  1. #1 Chaos theory question 
    Forum Radioactive Isotope MagiMaster's Avatar
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    I understand the basic idea of chaos theory: that small changes in initial value lead to large changes in the result. Most applications of chaos theory that I've seen though, such as the weather, diverge over time. Is it possible to have a chaotic system that isn't time dependent? Is it possibly for a function, f:A->B, to be considered chaotic is A is finite? What if both A and B are finite? Thanks.


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  3. #2  
    Forum Professor sunshinewarrior's Avatar
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    As far as I know chaos theory specifies:

    1) It is iterative - if not in time, then at least in space (or mathematical space)

    2) The mapping function whereby the 'new' value of A is the previous value of f(A), relates to values of A, B etc that are definitely finite. Some of them, as in the Mandelbrot set, may however be imaginary, but even this is not necessary.


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    Forum Professor river_rat's Avatar
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    Chaos theory deals with dynamic systems, so something has to be dynamic. I think the answer to the finite questions are no and no, but thats just gut feel.
    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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  5. #4  
    Forum Radioactive Isotope MagiMaster's Avatar
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    Good points. Thanks for the replies. I still have some questions, but, for the moment, I can't think of how to phrase them.
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