Explore MATLAB source code curated for "嵌入维数" with clean implementations, documentation, and examples.
Implementation of C-C method algorithms for computing optimal time delay and embedding dimension, with applications in Lyapunov exponent calculation, correlation dimension analysis, and chaotic time series prediction. Includes MATLAB/Python code insights for signal processing and nonlinear dynamics.
Calculating the embedding dimension of Rossler system by combining time delay obtained through mutual information method with Cao's approach, including implementation details for phase space reconstruction.
Parameter Selection for Phase Space Reconstruction: Delay Time and Embedding Dimension with Implementation Approaches
Implementation of the modified CC method for calculating time delay and embedding dimension with enhanced performance and control
Calculation of the Largest Lyapunov Exponent using Wolf's Method. This function computes the maximum Lyapunov exponent for time series data. Key parameters include: % m: embedding dimension % tau: time delay % data: input time series % N: length of time series % P: average period of the time series, which determines the search range for evolution phase points. When the current phase point is I, evolution phase points must satisfy |I-J|>P.
The G-P (Grassberger-Procaccia) method for chaotic time series analysis, used to calculate correlation dimension and embedding dimension required for phase space reconstruction with implementation insights
Implementation of the C-C Algorithm for Phase Space Reconstruction to Determine Embedding Dimension and Calculate Time Delay
When applying chaos theory and neural networks for short-term load forecasting, selecting appropriate neural network inputs is critical. This MATLAB program implements an embedding dimension selection algorithm for chaotic time series analysis, featuring multiple approaches for neural network input configuration to enhance prediction accuracy.
File: C-C method for computing time delay and embedding dimension - Implements the C-C algorithm to determine optimal time delay and embedding dimension for phase space reconstruction. File: dingyi_lyapunov - Computes Lyapunov exponents using the definition method. File: fencha - Generates bifurcation diagrams for Lorenz systems using the regional maximum method. File: m_test - Solves for embedding dimension m. File: pinghengdian
Foreign-developed toolkits that provide excellent functionality for calculating time delays, embedding dimensions, fuzzy logic operations, and chaos analysis.