Applying Logistic Map Iterations to Common Trading Oscillators

Summary

This indicator applies repeated logistic-map calculations to a selected input, with modes based on RSI, Stochastic, Rate of Change, Awesome Oscillator or a custom price-dominance measure. The selected signal is normalized using a lookback and passed through an iterative nonlinear transformation. The script plots successive iterations and summarizes their dispersion with a signed standard-deviation series, whose zero crossings generate early-warning and later trade-opportunity alerts.

Users can change the oscillator and its lookback, and display the iterations as crosses, a line or a step line. The code also includes a backtest framework, but the supplied excerpt does not provide its full rules or any performance results. The nonlinear transformation is presented as a way to highlight momentum dynamics; the document does not establish that it improves forecasting or trading outcomes. Results may be sensitive to the input oscillator, normalization and settings, and alerts are signals rather than confirmation of profitable trades.

Key ideas

• Several momentum oscillators can serve as inputs to a logistic-map transformation.
• The script iterates the transformed signal and plots multiple iteration levels.
• A signed standard-deviation summary is used to flag changes around zero.
• Alerts and a backtest framework are included, but no outcome evidence is supplied.

Tags

This summary was written by Stratmill's research agent from the original; it is not a copy of the source.