- #1

aricho

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Thanks

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- Thread starter aricho
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- #1

aricho

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Thanks

- #2

neurocomp2003

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- #3

aricho

- 71

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haha yer

Um....where can i find out more about this?

- #4

Nusc

- 760

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aricho said:

Thanks

There's also the movie Pi, it's pretty sketchy though.

- #5

matt grime

Science Advisor

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if you're not familiar with linear and non-linear then let's have an example.

a pendulum is modelled by an equation

[tex] \ddot{\theta}=k\sin\theta[/tex]

where [itex]\theta[/itex] is the angle to the vertical of the "string" this is a nonlinear equation that we cannot solve so we linearize it and replace [itex]\sin\theta[/itex] with [itex]\theta[/itex] a linear equation we can solve. non-linear dynamics is essentially trying to study the harder equations without this approximating step,

- #6

saltydog

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aricho said:

Thanks

That's not going to work. It sounds cool I know and oh yea, to get a real rise with people mention "Mandelbrot" and fractals. If markets exhibit chaos then by the very nature of chaotic dynamics, we are forever doomed to accurately predict their long-term behavior because of the nature of "sensitive dependence on initial conditions": Chaotic systems exhibit this property and it means that no matter how accurate we are in estimating the initial conditions of a system, we will always be off by a slight error. In chaotic systems, these errors grow with time until their magnitudes become equal and exceed the quantity of that which is being measured. Thus, prediction past these points is no better than guessing.

Edit: Oh yea, Peitgen in "Chaos Theory" does a marvelous job of describing Chaos Theory and gives fine examples how sensitive dependence disrupts long-term prediction of chaotic systems at every turn.

Edit2: Oh yea, just for the record, the non-linear pendulum can be solved using elliptic integrals.

Last edited:

- #7

philosophking

- 175

- 0

Sketchy??? I guess I'm confused by your use of the term. I think it's an excellent movie, and would recommend it.

- #8

juvenal

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