Logistic EMA w/ Signals by DGTLogistic Map Equation - The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more.
This study is an attempt to apply Logistic Map Equation in Trading
Logistic Map Equation
Xn+1 = r * Xn * (1 - Xn)
Where,
r - growth rate
Xn - percentage of theoretical maximum of measured event (from 0 to 1)
(1 - Xn) - represents constraints of the environment, presents the idea of negative feedback
For trading the measured event will be the price of the instrument (price is commonly reffered as source in mathematicall forumlations),
hence
r - growth rate can be expressed as => change(source, length) / source, expressing r in such manner mades the equation dynamic with regards to the growth rate
Xn - percentage of theoretical maximum of the price for given duration can be expressed as => source / highest(length)
Putting pieces together we are ready to plot
Printed alone does not seem to provide much useful visualization for trading, in fact not easy to interpret especially when the market is an uptrend
What it has numerically,
Provides a ratio, where sudden changes are much more reflected thanks to negative feedback nature of the logistic equation.
As we know moving average indicators are lagging and the logistic map may fit here to reduce the lag
With this study you will find application of Logistic Map Equation with combination of Exponential Moving Average (EMA)
Logistic EMA (LEMA) and LEMA COLORS
one line with user defined periods of length, where the colors of the line will change automatically depending where the value is compared to 50-100-200 moving average
Multiple LEMAs : optional – three fixed lenght of 50-100-200 period lines
LEMA Signals
Various signals are added by using LEMA and applying some common market approaches. Use with caution and with conjunction of other indicators
Thanks to @allanster for the idea
A fascinating YouTube video explaining the logistic map - “This equation will change how you see the world (the logistic map)”
Disclaimer:
Trading success is all about following your trading strategy and the indicators should fit within your trading strategy, and not to be traded upon solely
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