Alternative Method for Measure Entropy - Approximate Entropy Approach

A simple and effective alternative method for measure entropy - the approximate entropy approach. This method was applied to analyze the complexity of Logistic maps. Results demonstrate that Lyapunov exponents and measure entropy values show approximately linear relationships with complexity, while the functional relationship between fractal dimension and complexity remains difficult to determine, with unclear connections to Lyapunov exponents and measure entropy. The implementation involves calculating pattern repetitions in time series data with tolerance thresholds.