Quote from gtor514:
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What I decided to do was plot a random logistic map on my charting package against a chart for the GBPUSD.
The logistic map equation I use is ...
x[n+1] = r * x[n] * (1-x[n])
I plot this along a chart using only a beginning price to put me in the ballpark of my chart. I have two inputs that I must choose, they are "r" and my initial "x[n]"
Initially my goal is not to find some sort of indicator for the market but determine if chaos is a reasonable approach to study the markets. What I found was very encouraging. I found perfect fibonacci retracements and extensions. Trendlines, support and resistance, gann fans that worked, patterns like head and shoulders, elliot waves and everthing else that traders use to study the market.
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You can find all types of patterns that will lead you to believe that you are seeing useful: what you are seeeing is universality: many systems have similar behaviour. This really wont help you though much with trading unless you are going to construct an automated system and in this case the basic technical patterns you mention are already known and dont need this level of analysis - only in very specialized circumstances do these ideas have utility.
That said, there are some general ideas that are quite useful that can be extracted from the logistic system. ... If I have time I might post a couple of interesting pictures ....
